# Graph linear inequalities with one variable EXAMPLE 2 Graph ( a ) y < –3 and ( b ) x < 2 in a coordinate plane. Test the point (0,0). Because (0,0) is.

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Graph linear inequalities with one variable EXAMPLE 2 Graph ( a ) y < –3 and ( b ) x < 2 in a coordinate plane. Test the point (0,0). Because (0,0) is not a solution of the inequality, shade the half- plane that does not contain (0,0). a. Graph the boundary line y = –3. Use a solid line because the inequality symbol is <.

Graph linear inequalities with one variable EXAMPLE 2 b. Graph the boundary line x = 2.Use a dashed line because the inequality symbol is <. Test the point (0,0). Because (0,0) is a solution of the inequality, shade the half- plane that does not contains (0,0).

Graph linear inequalities with two variables EXAMPLE 3 Graph (a) y > –2x and (b) 5x – 2y ≤ –4 in a coordinate plane. a. Graph the boundary line y = –2x. Use a dashed line because the inequality symbol is >. Test the point (1,1). Because (1,1) is a solution of the inequality, shade the half- plane that contains (1,1).

Graph linear inequalities with two variables EXAMPLE 3 Test the point (0,0). Because (0,0) is not a solution of the inequality, shade the half-plane that does not contain (0,0). b. Graph the boundary line 5x –2y = –4.Use a solid line because the inequality symbol is <.

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 5. y > –1

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 6. x > –4

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 7. y > –3x

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 8. y < 2x +3

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 9. x + 3y < 9

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 10. 2x – 6y > 9

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