Graph inequalities on a number line worksheet

Graph inequalities on a number line worksheet. To help us in doing the graphing, we want to write the solution in a form of an inequality where only the variable is on the left side, and only a Apr 6, 2014 · notebook, 1. > and < means a dashed line. pptx, 737. You may choose to have the student to graph the inequalities, write the equation of the graphed inequality, or both. 5 > 2. Title: graph-easy1. first 2 sheets are for graphing inequalities. Inequality from graph. This linear inequalities worksheet helps students practice representing and reading inequalities on a number line. Finding Solutions and Graphing Two-Step Inequalities. x is 0, y is negative 1, negative 2, negative 3, negative 4, negative 5. Step 4: Verify the solutions in the original equation. Worksheet given in this section will be much useful for the students who would like practice graphing linear inequalities in one variable on a number line. Step 3: Graph the boundary line from step 2 in the [latex]XY- [/latex]plane. x < 3 means "x is any value less than 3. Solve One-Step Inequalities #3. On this page, you will find worksheets on translating a sentence by using an inequality symbol, translating a sentence into a one-step inequality, writing an inequality for a real-world situation, graphing a linear inequality on the number line, writing an inequality given a graph on the number Alternatively the numbers decrease from right to left. Students can download the PDF format of these easily accessible linear inequalities worksheets to practice and solve questions for free. 8. We can also use inequalities in algebraic expressions. com. And again, no matter what x we use, y is always greater than 5. >. Jan 20, 2015 · File previews. Shade the area above (because y is greater than ): The dashed line shows that the inequality does not include the line y = 2x−4. E Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Compound Inequalities Date_____ Period____ Solve each compound inequality and graph its solution. if the symbol is (≥ or ≤) then you fill in the dot, like the top two examples in the graph below. Steps on Graphing Linear Inequalities. Graphing Inequalities: Matching Activity. A worksheet where you need to read an inequality from a number line. Linear Inequalities Worksheet - 2. 5. riversidemath. Step 2) Draw line from each of the circles in the right direction. Quiz 3 - More practice to see if you have this skill down. 0. An inequality like x > 4 tells us that x can be any value greater than 4 . Problem 1 : Solve the following linear inequality and graph. Use the buttons below to print, open, or download the PDF version of the Write Inequalities from Number Lines (A) math worksheet. " 11. if the symbol is (> or <) then you do One-Step Inequalities - Intermediate (Addition & Subtraction) Intermediate, one-step inequalities are graphed on a number line. Observe the graphic solution and choose the correct one-step inequality. Dec 8, 2014 · Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. If the inequality is ≤ or ≥, ≤ or ≥, the boundary line is solid. <−5 6. Ex: 4. , 3). A L 1Mda9d keN 6wsi rt 4hw HINnbf Ti7n niPt ie2 uAjlagte 8b 0r4aL Y1e. ≥. 1. Number line is provided for first 6 exercises. Organizing data into meaningful graphs is an essential skill. Scroll down the page for more examples and solutions on how to graph inequalities on the number line. Quiz 2 - You will explain what you see in a numeric expression. Step 2: Plot the equation on the axes, this is done differently for > and for \leq. 25/05/2021. Graph the solution to the inequality \(2x + 3 < 9\). Sheet 2 involves the same skills as Sheet 1 but has compound inequalities in each question. com Graphing Inequalities on a Number Line Worksheet 1 Answers 1. These inequality worksheets are a good resource for students in. Check the solution graph that is inclusive or strict, and a segment between two points or a graph with two rays heading in the opposite directions based on your solution. Represent the inequality as an equation, moving the terms to one side and equating it to zero, factor the equation and find the zeros to obtain break points or critical points, graph them on a number line, and determine the interval. Ex: 2 x ≥ x + 2. R 4 TA ClHlX brFiSgYhdt Vsu 5rLeXs se Nrbv ePd W. To plot an inequality, such as x>3, on a number line, first draw a circle over the number (e. You may enter whole numbers, negative numbers or decimals numbers for the starting and ending numbers. Award winning educational materials designed to help kids succeed. School subject: Math (1061955) Main content: Algebra (2012775) Solve inequalities and represent solutions on a real number line. 22) Name one particular solution to question #20. This math worksheet was created or last revised on 2014-12-08 and has been viewed 264 times this week and 998 times this month. ©l R2J0 G1c2x sK vu Xt1a9 MS9o hf AtMwNaHr5e W 1L vLYCe. You may select increments that are whole integers or fractions. Quiz 1 - Explain each number line as an inequality. Learn to analyze and display data as bar graphs, pie charts, pictographs, line graphs and line plots. The inequalities feature a graphing component on a number line. Free worksheets and free distance learning. For example, The quadratic equation x 2 + 6x + 5 = 0x2 + 6x + 5 = 0 has two solutions. They have the same slope. Systems of Linear Inequalities Worksheet 1. Welcome to the Writing, Graphing and Solving Inequalities Worksheets section at Tutorialspoint. Here we will mark 4 by empty circle because it is not included. Inequalities on a number line are mathematical statements that compare the relative size of two numbers using symbols such as “greater than” (>), “less than” (<), “greater than or equal to” (>=), and “less than or equal to” (<=). In effect these inequalities are showing what values of x are not allowed. Q4 5. Graphing Linear Inequalities Worksheets. A quick recap before starting inequalities of how we represent them on number lines. $2. 9. Students would graph the inequalities on a number line; write inequalities given a graph; and solve one-step inequalities involving addition, subtraction, multiplication, and division. Step 3: Identify which side of the line the area that satisfies the inequality is on, then shade the area. X T MAEl Zl1 jr ri 3gJh Vtbs j ir te wsnefrEvse zd p. We can show this on a number line by putting an open circle on 4 and shading the numbers that are greater than 4 . p Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Graphing Linear Inequalities Date_____ Period____ In this Graph Inequalities worksheet, students are first asked to draw a given variable inequality on a number line. O B gM Sa bdoe L mw1iet uhl iI8n Jfhi 2n4i mtUeo WAgl Kghenbur Caa 515. ©D p2R0N112 H bK RuDt Sar 0SuoUfDtvw8aar 8em tL xL FCY. Then shade the line to the right. 2 Worksheet by Kuta Software LLC Infinite Algebra 1 Name_____ One-Step Inequalities Date_____ Period____ These math worksheets are a helpful guide for kids as well as their parents to see and review their answer sheets. Absolute value can be looked at as the distance between any number and zero on a traditional number line. Here the argument is 5x − 1 and p = 6. Identify and graph the boundary line. There are 12 Worksheets and each worksheet has 12 to 18 problems. Expressing inequalities on a numberline worksheet printable pdf download We can graph inequalities with one variable on a number line. Inequality type Open inequalities. A W LMmaJdEe0 Vw6iDtchb uIvn tf KiPniot OeN 6A0lAgNe3b orca d x1D. We use a closed dot, \bullet, ∙, to represent \leq ≤ and \geq. Check x = − 1. Textbook Exercise. Download PDF. Report this resource to let us know if it violates our terms and conditions. Decide if the dot should be colored in (if equal is part of the symbol). Testing solutions to inequalities. You have a less than or equal sign. You are driving, and the maximum speed limit is 55. Section 3 contains 3 foundation and The second inequality is y is less than 2x minus 5. 1 Worksheet by Kuta Software LLC Infinite Algebra 1 Name_____ Multi-Step Inequalities Date_____ Period____ Now an inequality uses a greater than, less than symbol, and all that we have to do to graph an inequality is find the the number, '3' in this case and color in everything above or below it. Mar 5, 2023 · The solution to a system of linear inequalities is the intersection of the ranges of numbers represented by the shaded regions on the number line. With a hard to beat versatility, these solving and graphing two-step inequalities get students in 7th grade and 8th grade to solve the inequalities with fraction and decimal coefficients and constants in two-steps and graph them on a number line. That won't change by adding or subtracting the same thing to both sides of the inequality. S Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 1 Name_____ Two-Step Inequalities Date_____ Period____ Sep 27, 2020 · Graphing Inequalities. To graph an inequality: Graph the related boundary line. Students will graph the inequalities on the number line only if they have solved for the correct solution. 𝑛 R2 4. Solving Two-Step Inequalities #2. Test a point that is not on the boundary line. 00. Grab our free printable one-step inequalities worksheets that lead to expertise in solving and graphing inequalities with one variable in a single step. Figure 3. Free trial available at KutaSoftware. 5th and 6th-grade students will learn the characteristics of inequalities and number lines and can improve their basic math skills with our free printable interactive worksheets. Then graph the solution set on a number line. Which inequality represents the " maximum score on the pilot's test is 95 points. Identify the shaded region, and the type of boundary line as dashed or solid, complete the inequality, check if ©5 e2h0 D1l28 fK Cuftmaw uSaocf Lt8w 5a vrxe e vL5L2CM. Lesson 7: Intro to inequalities with variables. Identify at least one ordered pair on either side of the boundary line and substitute those (x, y) ( x, y) values into the inequality. Section A provides the number line diagrams and learners need to write the correct inequality. These symbols can represent a range of numbers on a number line rather Worksheets on solving and graphing one step inequalities. Example 1 : . b A 6A MlPlk LrXiCg dhPtdsw Mrle EsRejr ovQeMdf. Section 2 contains 3 applied inequalities on a number line questions with a mix of worded problems and deeper problem solving questions. The worksheet is differentiated and ideal for either an in-class task or homework. 10: How to Graph a Linear Equation in Two Variables. We show this solution on a number line by placing 1. Google Drive™ folder. The left-hand side just becomes an x. Subtract 2 from both sides: y/2 > x − 2. Question 5: A school offers the option of GCSE drama for year 10 and 11 students. The same thing is true for y>5. 5x − 1 = − 6 or 5x − 1 = 6 5x = − 5 5x = 7 x = − 1 x = 7 5. Choose the correct inequality for "7 is less than a number. v X jA MlPlj yr diRg whPt7s Z GrMews 1e MrdvFe qdR. Any number which lies to the right of another on the number line is greater than it and any number which lies to the left of another on the number line is less than it. Inequalities on a Number Line worksheet description. Then, draw a line and arrow to the right. This worksheet includes only addition or subtraction on the same side of the inequality as the variable. Testing solutions to inequalities (basic) Plotting inequalities. We use an open dot, \circ, ∘, to represent < < and >. Step 3: Solve each of the resulting linear equations. This inequalities worksheet will produce problems for graphing single variable inequalities. One-Step. This Number Line Worksheet will produce a blank page of Number Lines for various types of scales. 100% free math worksheets! Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade and more! Solving Two-Step Inequalities #3. Many answers. Multiple Choice. This ensemble of printable graphing linear inequalities worksheets drafted for high school students assists in comprehending the use of inequalities when there is a range of possible answers. Dec 8, 2020 · An inequality is like an equation, but instead of an equals sign, you’ll have one of these inequality signs: ???>,\ <,\ eq,\ \leq,\ \geq??? Before we can graph an inequality, we have to solve it. 3rd worksheet is inequalities on a number line. We could solve this by factorising: (x + 1)(x + 5) = 0(x + 1)(x + 5) = 0. For example, the absolute value of 29 is 29, because it is twenty nine spaces from zero on a number line. If the inequality is < or >, < or >, the boundary line is dashed. Sketch a line and show all numbers the variable can be. Now plot y = 2x − 4 (as a dashed line because y> does not include equals to): 3. Two-Step Inequality Word Problems. Feb 9, 2022 · Draw a number line and Place dots or open dots on the two points corresponding to the solutions. Graphing basic inequalities. Inside this worksheet, teachers and parents can find four short activities that ask pupils to find and express the inequalities values on a series of number lines. The two values of xx that equate this equation Below you will find over 112 inequality worksheets that start out with simple linear comparisons to actual solving or displaying expressions on a graph. Adding with Number Mar 16, 2023 · Graphing Inequalities. Just remember. Step 2. Inequalities Practice Worksheet 1. Graphing Inequalities on a Number Line Graph the following inequalities on a number line<br 3x + 2 > 5 x - 5 ≤ 6 2/3 x + 4 ≥ 5-4x + 2 ≤ 10-x/3 + 1 > 4 2x Question 1: Display the inequality -1\geq x on a number line. 2 3. The value -1 ½ needs to be a closed circle as the symbol is ≤. So x needs to be less than or equal to 3. The following diagram shows how inequalities can be represented on the number line. 9 – x > 10 ©a K2r0 E1Y2K PK 3u2t6ak QSto 5fRtAwca BrJe l RLbLyCT. Inequality, number line. Systems of Linear Inequalities Worksheet 2. Internet Activities. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. 0 Worksheet by Kuta Software LLC Kuta Software - Infinite Pre-Algebra Name_____ Inequalities and Their Graphs Date_____ Period____ These pdf one-step inequalities worksheets expect kids to identify the inequality that describes the graph correctly. Please click on the link to each to preview as a student. if the symbol is (\(≥\) or \(≤\)) then you fill in the dot if the symbol is (\(>\) or \(<\)) then you do not fill in the dot. Example 1: x > 4. Graphing Linear Inequalities Notes Outline. Solve. x < 5 9 Graphing Inequalities On A Number Line Worksheets / Web to graph an inequality, find the value of the inequality on the number line. For example, x ≠ 1 3 represents all the possible solutions of x except 1 3. To graph the solution to an inequality, you can use a number line. y > 0x + 5. A closed circle shows the inequality does include the value. >8 3. So whatever we put in for x, we get x*0 which always = 0. Part solving, part graphing these printable one step inequalities worksheets get 7th grade students to solve the inequality, plot the relative value on a number line with an open or closed circle, and draw an arrow to indicate the solution range. I used this with top set year 8 and they ended up due to the scaffolding and support graph sheet being able to complete the 2nd graphs of inequalities worksheet better than top set year 10. An open circle shows the inequality does not include the value. Then, draw a line and arrow to the left. Previous: Negative Indices Textbook Exercise. Represent x< 5 on a number line. Linear Inequalities Worksheet - 1. Sheet 1 involves using one variables and using the information to solve the inequality, usually in the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Step 1: Treat the inequality as if it were an equation. 6>ℎ Study Guides - A quick way to review concepts. Start with: y/2 + 2 > x. Students must solve inequalities and graph their solutions on a number line. <−3 2. The solution region is shown with arrows to both sides of 1 3 just removing that Graphing inequalities with variables. 1) m or m Number Line Graph Paper Worksheets. Mar 17, 2023 · Last updated: June 6, 2023. The equation y>5 is a linear inequality equation. Students will look at an inequality and match the graph that represents it. Graph the linear inequality y > 5 2x − 4. For now, you will deal with a line. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Worksheet. Feb 14, 2022 · Now that we know what the graph of a linear inequality looks like and how it relates to a boundary equation we can use this knowledge to graph a given linear inequality. " 10. IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. < 5 4 2:5 < 3. comGraphing inequalities on the number line worksheet by funsheets4math. Solving and Graphing One-Step Inequalities. Writing Inequalities. " Solutions can be 4, 7, 1000, etc. This free algebra worksheet contains 14 inequality problems. So we graph the entire number line removing the point 1 3. \leq and \geq means a solid line. Solve One-Step Inequalities #2. And then 1 plus 2 is 3. Figure out the range of possible solutions in these absolute value inequalities worksheet pdfs. We use the number line and mark the point on which the above equation is true. Finally, this sixth-grade math worksheet provides practice with identifying solutions to inequalities by having learners Aug 3, 2023 · An inequality of the form x ≠ a on a number line includes the solution set of all the real numbers except the point ‘a’. Additional Example 1B: Solving Inequalities by Adding B. 1) Place an open dot on 10. Oct 6, 2021 · Example 3. Welcome; Videos and Worksheets; Primary; 5-a-day. If we put any value greater the 4 then the value is positive and satisfies the above given expression, so mark the right side This linear inequalities worksheet helps students practice representing and reading inequalities on a number line. Example 3. Students are given a brief help section before being asked to describe inequalities they see on a number line as well as draw inequalities. Step 1. The size of the PDF file is 54277 bytes. Vertical Number Line Graphing Paper Worksheets These Number Line Worksheets will produce a page of vertical number lines for various types of scales, start points, end points and increments. 91 MB. Plotting inequalities. This guide can find. Algebra is the branch of mathematics that uses letters or symbols to represent unknown numbers and values, often to show that certain relationships between numbers are true for all numbers in a specified set. There are 12 problems, each with 4 cards, for a total of 48 cards to cut out and sort. Writing Inequalities from Word Problems - Section C. This distance is always viewed as a positive, rather than a negative, value. All problems use the same numbers so students can't just use "tricks" to figure out the answer. You may select which type of inequality and the type of numbers to use in the problems. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more. Graph Inequalities on a Number Line Worksheet - Problems. In this case, graph the boundary line using intercepts. “Greater than”), and then an example concerning at inequality on a numeral line. 2x - 4 ≤ 0. Solving Two-Step Inequalities Worksheet Solve each inequality. Graph the solutions on a number line. Preview images of the first and second (if there is one) pages 22) Name one particular solution to question #20. 5x − 1 = − 6 or 5x − 1 = 6. By following these steps, you can graph solutions to linear inequalities on a number line. k e IM9aUdceY HwOiht fh s DIEnZfiBnnintrev lP 0rner-eA ylLguedbkr 1aX. We can use a number line to show the possible solutions to an inequality. Step 1: Always start by isolating the variable [latex]\color {red}y [/latex] on the left side of the inequality. These Expressing Graphical Inequalities. a – 10 ≥–3 a – 10 ≥ –3 + 10 +10 a D ≥ 7 Add 10 to both sides. Printable or online. 6 < 0. Last updated. Aug 29, 2019 · The Corbettmaths Practice Questions on inequalities. Any number greater than zero. The values that lie on the line make the sentence true, as all numbers are greater than 9. Problem 2 : Solve the following linear inequality and graph. Explore math with our beautiful, free online graphing calculator. Section B provides the inequality for learners to draw the correct diagram. g. These Number Line Worksheets are appropriate for Kindergarten, 1st Grade, 2nd Grade, 3rd Grade, 4th Grade, 5th Grade, and 6th Grade. Two-Step. –4 –2 0 2 4 6 8 10 Solve. The value ½ needs to be a closed circle as the symbol is ≥. Sep 18, 2023 · Inequalities inequality graphing tes8 best images of graphing inequalities on a number line worksheets Graphing inequalities on a number line worksheet — db-excel. 21 ≤ 3 + 9x 3. These Inequalities on a number line. Graph the solution set: 2x − 5y ≥ −10 2 x − 5 y ≥ − 10. Identifying Solution Graphs for Absolute Inequalities. Replace the <, >, ≤ or ≥ sign in the inequality with = to find the equation of the boundary line. The various resources listed below are aligned to the same standard, (6EE08) taken from the CCSM ( Common Core Standards For Mathematics) as the Expressions and equations Worksheet shown above. This is an inequalities worksheet with answer sheet. s j uM Wavd 4ed qw Ci Utsh L 9I qnbf aiNnkiNtzeK lA Plug TeMbxrka 4 q1x. The solution to the inequality x < 2 would be represented by an open dot at 2 on the number line, with everything to the left of 2 being a valid solution. This worksheet is designed to give learners the opportunity to practise the skill of displaying inequalities on a number line. Plotting an inequality example. pdf Author: USER 3 Created Date: 12/8/2023 4:41:12 PM 4 Resource digital bundle. Graphing Solutions to Linear Inequalities – Examples 1. Tes classic free licence. Step 2: Change the inequality to equality symbol. Negative numbers, decimals, and fractions are included. Students are able to practice graphing inequalities given a number line using this self checking digital worksheet. These Sep 26, 2019 · Click here for Questions. If the sign does not include equal to (> or <), leave the circle unfilled in. Inequalities can be open or closed. Plot ordered pairs and coordinates, graph inequalities, identify the type of slopes, find the midpoint using the formula, transform shapes by flipping and turning Course: 6th grade > Unit 7. Interactive Worksheet. y=0x + 5. These worksheets really run the gamut from the most basic form to understanding the possible ranges of their solution. 2. Solving Two-Step Inequalities #1. Basic. Section 1 of the inequalities on a number line printable worksheet contains 20+ skills-based inequalities on a number line questions, in 3 groups to support differentiation. Graph the linear inequality y ≥ 3 4x − 2. This digital worksheet contains 10 questions made in Google Sheets. pdf, 221 KB. 7. Feb 22, 2018 · File previews. Browse Printable 7th Grade Inequality Worksheets. Graphing Absolute Value Inequalities – Example 1: PDF. Systems of Linear Inequalities - Write Your Own Story Problem. Then if the sign includes equal to (≥ or ≤), fill in the circle. . High School Algebra commonly includes the study of graphs and functions, and finding the Displaying Inequalities Lesson. Create your own worksheets like this one with Infinite Algebra 2. Country: Bahamas. Graph Worksheets. Check Details. The purpose of an inequality is to set up a range or limit as to how big Sep 21, 2023 · Step 2: Set the argument of the absolute value equal to ± p. 9 3. Subjects: Once students have no trouble writing an inequality from a numbers line, they are good to go on this skill. eg. " Solutions can be 2 Mar 21, 2022 · Before your child can tackle the graphing inequalities up a number line practice worksheet, fellow or she needs to verstehen the symbols involved. h y aMGaDdPej Dwxiht Ih E PI sn3f WiYnAixt Qey oA FlVg6e vbEr QaH E1C. 3 KB. Supercharge your high school students' solving skills with our printable quadratic inequalities worksheets. This is then followed by corresponding pages filled with the answers to each activity for teacher use only. Our customer service team will review your report and will be in touch. So if we were to graph 2x minus 5, and something already might jump out at you that these two are parallel to each other. So for whatever x we use, y always equals 5. Since the inequality is inclusive, we graph the boundary using a solid line. So 2x minus 5, the y-intercept is negative 5. s D cAXlMl3 xr AipgOh StWsI XrUexs Vesrlv Ne2d y. Jun 12, 2023 · These inequalities on a number line worksheet will help to visualize and understand inequalities on a number line as well as interpret inequalities from a number line. The Textbook Exercise on Inequalities. If x \geq -1, x ≥ −1, the we know that x x could be any number that is greater than or equal to -1. Next: Solving Inequalities Textbook Exercise. 1 step equationsClick the link below and Graph a linear inequality in two variables. E. x< 5 means ‘ x is less than 5 ’ so an open circle is placed at 5 . Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. May 25, 2021 · ID: 1031989. 5x + 2 ≤ 17 2. Multiply all by 2: y > 2x − 4. Country code: BS. AboutTranscript. It tracks your skill level as you tackle progressively more difficult questions. Question 4: Display the inequality -1\leq x \leq8 on a number line. Any x that is less than or equal to 3 will satisfy this equation. Question 2: Display the inequality x \le 4 on a number line. It shows inequality symbols, how those would be written out (ex. We can solve quadratic inequalities to give a range of solutions. The values that lie on the line make the sentence true, as all numbers Plus 2. Question 3: Display the inequalities y>3 and y<-2 on the same number line. This set of matching cards requires students to write a two step inequality from a word problem, solve the inequality, and graph their answer on a number line. what are inequalities? Inequalities are used to model a situation that can be described by a range of numbers instead of a single number. Step 1) Identify the values on the number line. Then they will be asked to do the reverse and write out the inequality that is shown on a number line. ©T s2l0 U1J2m ZKvuCtqar 5Sdo9f9t dw Lairoe k nLBLRC4. Dec 8, 2014 · Welcome to The Graph Basic Inequalities on Number Lines (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills. Solution: Here the boundary is defined by the line 2x − 5y = −10 2 x − 5 y = − 10. Solve the expression by using number lines. 6th through 8th Grades. In other words, INEQUALITIES HAVE MORE THAN ONE answer. This is shown on the graph below where the parabola crosses the xx axis. For example: x > 3 means "x is any value more than 3. r aw clos ed i t 7. Graphing Single Variable Inequalities Worksheets. Free Pre-Algebra and Algebra I inequalities worksheets. qq nc zy kz mi eq sr wf ol nc