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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 <.

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Graph linear inequalities with one variable

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

  2. EXAMPLE 2 Graph linear inequalities with one variable b.Graphthe boundary linex = 2.Useadashedline because the inequality symbol is < . Test the point (0,0).Because (0,0) is a solution of the inequality, shade thehalf-plane that does not contains (0,0).

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

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

  5. y > –1 for Examples 2 and 3 GUIDED PRACTICE Graph the inequality in a coordinate plane. SOLUTION Graphthe boundary liney = –1.Useasolidline because the inequality symbol is >. Test the point (0,0).Because (0,0) is a solution of the inequality, shade thehalf- plane that contains (0,0).

  6. for Examples 2 and 3 GUIDED PRACTICE

  7. x > –4 for Examples 2 and 3 GUIDED PRACTICE Graph the inequality in a coordinate plane. SOLUTION Graphthe boundary linex = – 4.Useadashedline because the inequality symbol is>. Test the point (0,0).Because (0,0) is a solution of the inequality, shade thehalf-plane that contains (0,0).

  8. for Examples 2 and 3 GUIDED PRACTICE

  9. y > –3x for Examples 2 and 3 GUIDED PRACTICE Graph the inequality in a coordinate plane. SOLUTION Graphthe boundary liney = –3x.Useadashedline because the inequality symbol is>. Test the point (1,1).Because (1,1) is a solution of the inequality, shade thehalf-plane that contains (1,1).

  10. for Examples 2 and 3 GUIDED PRACTICE

  11. y < 2x +3 for Examples 2 and 3 GUIDED PRACTICE Graph the inequality in a coordinate plane. SOLUTION Graphthe boundary liney = 2x + 3.Useasolidline because the inequality symbol is <. Test the point (0,0).Because (0,0) is a solution of the inequality, shade thehalf-plane that contains (0,0).

  12. for Examples 2 and 3 GUIDED PRACTICE

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

  14. for Examples 2 and 3 GUIDED PRACTICE

  15. 2x –6y > 9 for Examples 2 and 3 GUIDED PRACTICE Graph the inequality in a coordinate plane. SOLUTION Graphthe boundary line 2x – 6y = 9.Useasolidline because the inequality symbol is >. Test the point (0,0).Because (0,0) is nota solution of the inequality, shade thehalf-plane that does not contains (0,0).

  16. for Examples 2 and 3 GUIDED PRACTICE

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