EXAMPLE 2 Graph linear inequalities with one variable

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

EXAMPLE 2 b. Graph linear inequalities with one variable 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 halfplane that does not contains (0, 0).

EXAMPLE 3 Graph linear inequalities with two variables Graph (a) y > – 2 x and (b) 5 x – 2 y ≤ – 4 in a coordinate plane. a. Graph the boundary line y = – 2 x. 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 halfplane that contains (1, 1).

EXAMPLE 3 b. Graph linear inequalities with two variables Graph the boundary line 5 x – 2 y = – 4. Use a solid line because the inequality symbol is <. 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).

GUIDED PRACTICE for Examples 2 and 3 Graph the inequality in a coordinate plane. 5. y > – 1 SOLUTION Graph the boundary line y = – 1. Use a solid 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. 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 halfplane 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 > – 3 x SOLUTION Graph the boundary line y = – 3 x. 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 halfplane 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 < 2 x +3 SOLUTION Graph the boundary line y = 2 x + 3. Use a solid 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. 9. x + 3 y < 9 SOLUTION Graph the boundary line x + 2 y = 9. Use a solid 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. 10. 2 x – 6 y > 9 SOLUTION Graph the boundary line 2 x – 6 y = 9. Use a solid line because the inequality symbol is >. Test the point (0, 0). Because (0, 0) is not a solution of the inequality, shade the halfplane that does not contains (0, 0).

GUIDED PRACTICE for Examples 2 and 3