Question

Use the image to answer the question.

Two dashed lines and four points are graphed on a coordinate plane. The x-axis ranges from negative 5 to 15 in increments of 1. The y-axis ranges from negative 10 to 12 in increments of 1.

Which point is a solution for the simultaneous inequalities y>−2x+3
and y<3x−3
?

(1 point)
Responses

(2,5)
open paren 2 comma 5 close paren - no response given

(10,5)

Answer 1

Test each point.

For (2,5): -2(2)+3 = -1, so 5 > -1 (true), but 3(2)-3 = 3, and 5 < 3 is false. So (2,5) does not work.

For (10,5): -2(10)+3 = -17, so 5 > -17 (true), and 3(10)-3 = 27, so 5 < 27 (true).

Thus (10,5) is a solution.