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    1. Rearrange the inequality so that y is isolated on the left side (e.g., rewrite 2y - x ≤ 6 as y ≤ x/2 + 3).

    2. Replace the inequality symbol (≤) with an equals sign (=) to create the corresponding equation (e.g., y = x/2 + 3).

    3. Plot the line for the equation on a coordinate plane: Use a solid line because the inequality includes "equal to" (≤).

    4. Choose a test point not on the line (e.g., (0,0) if it is not on the line).

    5. Substitute the test point into the original inequality: If the inequality holds true, shade the region below the line. If false, shade the region above the line.

    6. The shaded region represents all points that satisfy the inequality y ≤.

    These steps ensure the inequality is visually represented as points on a graph.

    Learn more:
    1 -mathsisfun.com2 -mathbitsnotebook.com3 -wikihow.com
    How to graph linear inequalities using x + y 5?

    x + y < 5 is a line and a half-plane. If one point of a half-plane is in the solution set of a linear inequality, then all points in that half-plane are in the solution set. This gives us a convenient method for graphing linear inequalities. 1. Replace the inequality symbol with an equal sign and graph the resulting line. 2.

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    Mathwarehouse.com
    https://www.mathwarehouse.com/number-lines/graph...
    Graph Inequality on Number Line - Mathwarehouse.com
  1. Math is Fun
    https://www.mathsisfun.com › algebra › graphing-linear...

    Graphing Linear Inequalities - Math is Fun

    Graphing Linear Inequalities This is a graph of a linear inequality: The inequality y ≤ x + 2 We can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2

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  2. Mathwarehouse.com
    https://www.mathwarehouse.com › number-lines › graph...

    Graph Inequality on Number Line - Mathwarehouse.com

    To better understand how to graph inequalities, look at the examples below or experiment with the grapher that is immediately below.

  3. People also ask
    What is a graph of a linear inequality?
    The graph of a linear inequality represents a region or area on the coordinate plane, not just a line. When graphing linear inequalities, we follow similar steps to graphing linear equations, but add a step to show which region (above or below the line) represents the solution.

    How to Graph Linear Inequalities: A Beginner’s Guide

    mathcity.co
    What is the difference between a graph and an inequality?
    The difference is that, since an inequality shows a set of values greater than or less than, your graph will show more than just a dot on a number line or a line on a coordinate plane. By using algebra and evaluating the inequality sign, you can determine which values are included in the solution of an inequality. Solve for the variable.

    3 Ways to Graph Inequalities - wikiHow

    wikihow.com
    How to graph linear inequalities using x + y 5?
    x + y < 5 is a line and a half-plane. If one point of a half-plane is in the solution set of a linear inequality, then all points in that half-plane are in the solution set. This gives us a convenient method for graphing linear inequalities. 1. Replace the inequality symbol with an equal sign and graph the resulting line. 2.

    Graph - Graph inequalities with Step-by-Step Math Problem Solver

    quickmath.com
    How to shade a graph if 0 is greater than -6?
    Since 0 is greater than -6, we will shade above the line that since it contains (0,0). Step 4: Shade your graph. Step 5: Identify three points that are solutions to the inequality. This means that you can pick any three points that are in the shaded area.

    Graphing Linear Inequalities - Algebra-Class.com

    algebra-class.com
    How do you graph an inequality?
    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. To better understand how to graph inequalities, look at the examples below or experiment with the grapher that is immediately below.

    Graphing Inequality on Number Line. Step by Step Examples Plus Fee

    mathwarehouse.com
    What if the inequality symbol is greater than or less than?
    If the inequality symbol is greater than or equal to or less than or equal to, then you will use a solid line to indicate that the solutions are included on the boundary line. The second step will be to determine which half plane to shade. If this all sounds confusing, don't worry.... Take a look at the examples below and it will all make sense.

    Graphing Linear Inequalities - Algebra-Class.com

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  4. WikiHow
    https://www.wikihow.com › Graph-Inequalities

    3 Ways to Graph Inequalities - wikiHow

    Mar 7, 2023 · You can graph a linear or quadratic inequality similarly to how you would graph an equation. The difference is that, since an inequality shows a set of values greater than or less than, …

  5. Algebra-Class.com
    https://www.algebra-class.com › graphing-inequalities.html

    Graphing Linear Inequalities - Algebra-Class.com

    Step 1: Graph the inequality as you would a linear equation. Think of: y = 2x + 2 when you create the graph. Remember to determine whether the line is solid or dotted. In this case, since the inequality …

  6. YouTube
    https://www.youtube.com › watch

    Algebra 1 - Graphing an inequality less than or equal too ...

    Jan 30, 2012 · We graph linear inequalities using the same process as linear equations. We then use shading to represent all of the solutions of the inequality.

  8. Desmos
    https://www.desmos.com

    Desmos | Graphing Calculator

    Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.

  9. Basic Mathematics
    https://www.basic-mathematics.com › graphing-inequalities.html

    Graphing inequalities - Basic-mathematics.com

    It may help to remind you what an inequality is before showing how to graph it. An inequality is basically any mathematical statement that uses greater than (>), less than (<), less than or equal (≤), greater …

  10. MathCity
    https://mathcity.co › how-to-graph-linear-inequalities

    How to Graph Linear Inequalities: A Beginner’s Guide

    Nov 21, 2024 · Learn how to graph linear inequalities with easy step-by-step examples and illustrations. Start mastering this key math concept today!

  11. MathBitsNotebook
    https://mathbitsnotebook.com › Inequalities › IQ...

    Linear Inequality Graphs - MathBitsNotebook (A1)

    • Draw the line solid if the inequality is less than or equal to or greater than or equal to. • Choose a point not on the line as a test point. The point (0,0) is an easy point to test, as long as it is not on the line. …

  12. QuickMath
    https://quickmath.com › quickmath › graphs › ...

    Graph - Graph inequalities with Step-by-Step Math Problem ...

    Graph inequalities or systems of inequalities with our free step-by-step math inequality solver

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