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 SOLUTION Test the point (0,0). Because (0,0) is a solution of the inequality, shade the half- plane that contains (0,0). Graph the boundary line y = – 1.Use a solid line because the inequality symbol is >.

GUIDED PRACTICE for Examples 2 and 3

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 6. x > –4 SOLUTION Graph the boundary line x = – 4.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 contains (0,0).

GUIDED PRACTICE for Examples 2 and 3

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

GUIDED PRACTICE for Examples 2 and 3

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 8. y < 2x +3 SOLUTION Test the point (0,0). Because (0,0) is a solution of the inequality, shade the half-plane that contains (0,0). Graph the boundary line y = 2x + 3.Use a solid line because the inequality symbol is <.

GUIDED PRACTICE for Examples 2 and 3

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 9. x + 3y < 9 SOLUTION Test the point (0,0). Because (0,0) is a solution of the inequality, shade the half-plane that contains (0,0). Graph the boundary line x + 2y = 9.Use a solid line because the inequality symbol is <.

GUIDED PRACTICE for Examples 2 and 3

Graph the boundary line 2x – 6y = 9.Use a solid line because the inequality symbol is >. GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane x – 6y > 9 SOLUTION Test the point (0,0). Because (0,0) is not a solution of the inequality, shade the half- plane that does not contains (0,0).

GUIDED PRACTICE for Examples 2 and 3