YOU TRY 4 Graph the solution set of the system. EXAMPLE 6 In-Class Example 6 Graph the solution set of the system. y x 4 2x y 2 Answer: 3x 2y 2 Graph the solution set of the system. y 2 2x y 1 Solution Graph each inequality separately, and lightly shade the solution set of each of them. (Notice that we use dotted lines for the boundary lines because of the inequality symbols.) The solution set of the system is the intersection (overlap) of the shaded regions. This is the purple region. The points on the boundary lines are not included in the solution set. x y YOU TRY 5 Graph the solution set of the system. y x 2 y 1 2 x 2 x y 3 EXAMPLE 7 In-Class Example 7 Graph the solution set of the system. x 0 y 0 y 3 2 x 3 Answer: Next we will solve a system that contains more than two inequalities. Graph the solution set of the system. x 0 y 0 y 4 3 x 4 Solution The inequalities x 0 and y 0 tell us that the solution set will be in the fi rst quadrant since this is where both x and y are positive. (The axes may be included since x 0 is the y-axis and y 0 is the x-axis.) Graph the third inequality. The solution set of the system is the region shaded in purple. The points on the boundary lines are included in the solution set. x y 5 2x y 1 y x 2 5 5 5 Solution set x y 2 2 y 6 x 0 y 0 Solution set 2 6 2 x y x 4 43 292 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