1 / 7

Graphing a Linear Inequality

Graphing a Linear Inequality. Graphing a linear inequality is very similar to graphing a linear equation. Graphing a Linear Inequality. 1) Solve the inequality for y (or for x if there is no y ). 2) Change the inequality to an equation and graph.

thi
Download Presentation

Graphing a Linear Inequality

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Graphing a Linear Inequality Graphing a linear inequality is very similar to graphing a linear equation.

  2. Graphing a Linear Inequality • 1) Solve the inequality for y (or for x if there is no y). • 2) Change the inequality to an equation and graph. • 3) If the inequality is < or >, the line is dotted. If the inequality is ≤ or ≥, the line is solid.

  3. Graphing a Linear Inequality • Graph the inequality 3 - x > 0 • First, solve the inequality for x. 3 - x > 0 -x > -3 x< 3

  4. 6 4 2 3 Graph: x<3 • Graph the line x = 3. • Because x < 3 and not x ≤ 3, the line will be dotted. • Now shade the side of the line where x < 3 (to the left of the line).

  5. Graphing a Linear Inequality • 4) To check that the shading is correct, pick a point in the area and plug it into the inequality. • 5) If the inequality statement is true, the shading is correct. If the inequality statement is false, the shading is incorrect.

  6. 6 4 2 3 Graphing a Linear Inequality • Pick a point, (1,2), in the shaded area. • Substitute into the original inequality 3 – x > 0 3 – 1 > 0 2 > 0 • True! The inequality has been graphed correctly.

  7. Graphing Linear Inequalities using the Casio Calculator • Go to the graph menu (5) • Delete all equations. • Before you enter your inequality, hit Type (F3), then F6. • Hit F1 - F4 to choose your inequality. • Now type in your inequality. • Hit F6 to graph.

More Related