sat-dog

( ) Choice A is correct. The given point, 8, 2, is located in the first quadrant in the xy-plane. The system of inequalities in choice A represents all the points in the ( ) first quadrant in the xy-plane. Therefore, 8, 2 is a solution to the system of inequalities in choice A. > Alternate approach: Substituting 8 for x in the first inequality in choice A, x 0, > yields 8 0, which is true. Substituting 2 for y in the second inequality in > > choice A, y 0, yields 2 0, which is true. Since the coordinates of the ( ) > > ( ) point 8, 2 make the inequalities x 0 and y 0 true, the point 8, 2 is a > > solution to the system of inequalities consisting of x 0 and y 0. Choice B is incorrect. This system of inequalities represents all the points in the fourth quadrant, not the first quadrant, in the xy-plane. Choice C is incorrect. This system of inequalities represents all the points in the second quadrant, not the first quadrant, in the xy-plane. Choice D is incorrect. This system of inequalities represents all the points in the third quadrant, not the first quadrant, in the xy-plane.