4 minutes Warm-Up Solve and graph. 1) 2).

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Presentation transcript:

4 minutes Warm-Up Solve and graph. 1) 2)

6.5 Inequalities in Two Variables Objectives: To determine whether a given ordered pair is a solution of an inequality To graph inequalities in two variables

Example 1 Determine whether (4,1) is a solution of the inequality 3x + 2y < 20. 4 1 3x + 2y < 20 x y 3(4) + 2(1) < 20 12 + 2 < 20 14 < 20 True (4,1) is a solution

Example 2 Graph the linear inequality. y > -x - 3 -8 -6 -4 -2 2 4 6

Example 3 Graph the linear inequality. -8 -6 -4 -2 2 4 6 8

Practice 1) Determine whether (4,8) is a solution of y > 2x + 1. Graph each linear inequality. 2) y > -2x - 2 3)

Example 4 Graph the linear inequality on the coordinate plane. -8 -6 -4 -2 2 4 6 8

Example 5 Graph the linear inequality on the coordinate plane. -8 -6 -4 -2 2 4 6 8

Practice Graph each linear inequality on the coordinate plane. 2) x > 2

Example 6 Write an inequality for the graph. -8 -6 -4 -2 2 4 6 8

Practice 1) Write an inequality for the graph below. -8 -6 -4 -2 2 4 6