sat-dog

Choice D is correct. A point ^x,yh is a solution to a system of inequalities in the xy-plane if substituting the x-coordinate and the y-coordinate of the point for x and y, respectively, in each inequality makes both of the inequalities true. 14 Substituting the x-coordinate and the y-coordinate of choice D, and 0, for x # + and y, respectively, in the first inequality in the given system, y x 7, yields 0#14+7 0#21 14 , or , which is true. Substituting for x and 0 for y in the $-2 -1 0$-2 14 -1 second inequality in the given system, y x , yields ^ h , or 0$-29 14,0 , which is true. Therefore, the point ^ h is a solution to the given system of inequalities in the xy-plane. 37 SAT PRACTICE TEST #8 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1 -14 Choice A is incorrect. Substituting for x and 0 for y in the inequality # + 0#-14+7 0#-7 y x 7 yields , or , which is not true. Choice B is incorrect. -14 $-2 -1 Substituting 0 for x and for y in the inequality y x yields -14$-2 0 -1 -14$-1 ^ h , or , which is not true. Choice C is incorrect. Substituting 14 # + 14#0+7 14#7 0 for x and for y in the inequality y x 7 yields , or , which is not true.