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

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

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

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

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

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

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

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

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