4.5 Exercises Do the exercises, and check your work. *Additional answers can be found in the Answers to Exercises appendix. Objective 1: Define a Linear Inequality in Two Variables The graphs of linear inequalities are given in Exercises 1–6. For each, fi nd three points that satisfy the inequality and three that are not in the solution set. 1) 3x y 1 1–6, answers may vary. x y 3x y 2) 4x 3y 24 x y x 3y 2 3) y 4 3 x 4 x y 5 5 5 5 y x 4 43 x y y x 2 4) y 1 4 x 2 x y y x x y x 3 5) y x 6) x 3 Objective 2: Graph a Linear Inequality in Two Variables Graph using the test point method. 7) 2x 3y 6 8) x 2y 2 9) y x 4 10) y 1 2 x 3 11) 2x 7y 14 12) 4x 3y 15 13) y x 14) y 2 3 x 15) x 4 16) y 3 Use the slope-intercept form to graph each inequality. 17) y x 3 18) y 2x 1 19) y 2 5 x 4 20) y 1 4 x 1 21) 4x y 2 22) 3x y 4 23) 9x 3y 21 24) 3x 5y 20 25) x 2 3 y 26) x 2y 0 www.mhhe.com/messersmith SECTION 4.5 Linear Inequalities in Two Variables 295
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