41) x 3y 2 y x 0 42) 3x 2y 6 3x y 1 27) To graph an inequality like y 3 4 x 5, which method, test point or slope-intercept, would you prefer? Why? Answers may vary. 28) To graph an inequality like 5x 8y 12, which method, test point or slope-intercept, would you prefer? Why? Answers may vary. Graph using either the test point or slope-intercept method. 29) y 1 3 x 1 30) y 3 4 x 2 31) 5x 2y 8 32) 4x y 7 33) 9x 3y 21 34) 5x 3y 9 35) y 5 2 36) x 1 2 37) x 2y 5 38) 3x 2y 8 Objective 3: Solve a System of Linear Inequalities by Graphing The graphs of systems of linear inequalities are given next. For each, fi nd three points that are in the solution set and three that are not. 39–42, answers may vary. 39) y 4 5 x 2 y 5 x y y x 2 y x y x y x 2 2 3 x y x 3y 2 y x 40) x 4 y 2 3 x 2 x y 3x 2y 3x y 43) Is (9, 2) in the solution set of the system 4x 3y 27 and x 4y 4? Why or why not? Yes; it satisfi es both inequalities. 44) Is (3, 7) in the solution set of the system 4x 3y 27 and x 4y 4? Why or why not? No; it satisfi es only the fi rst inequality. Graph the solution set of each system. 45) x 4 46) y 1 4 x 2 y 3 2 x 3 y 1 47) y x 3 48) x 2 y 1 y 3 2 x 4 49) y 4 50) x 3y 0 2x y 2 x 3 51) y 4x 1 52) y x 2 y 3x 3 y 2x 1 53) y 3 2 x 2 54) y 1 4 x 3 y 2x 3 y 1 3 x 4 55) y 2 3 x 4 56) y 2x 1 4x y 3 y 1 5 x 2 296 CHAPTER 4 Linear Equations and Inequalities in Two Variables www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
To see the actual publication please follow the link above