Question

Given the inequalities y < 2x + 2 and y> x-7 graphed on the same coordinategrid, which of the following coordinates gives a true statement?A. (-2,2)B. (4,0)C. (0,4)D. None of the above

Answer 1

we have a system of inequalities

y<2x+2

y>x-7

The solution of the given system is the shaded area below the dashed line y=2x+2 and above the dashed line y=x-7.

If an ordered pair is a solution of the system, then the ordered pair must lie on the shaded region of the solution

using a graphing tool

we have the points

(-2,2)

(4,0)

(0,4)

A solution is the point (4,0)

The answer is the option C