Question

Use the image to answer the question.

A Cartesian coordinate plane's axes range from negative 4 to 4, both by 1-unit increments. 2 dashed lines with arrows at both ends are plotted, and various regions of the graph are marked.

Which point is a solution to the simultaneous inequalities y<12x
and y>13x+3
?

(1 point)
Responses

(25,12)
left parenthesis 25 comma 12 right parenthesis

(3,6)
left parenthesis 3 comma 6 right parenthesis

(2,2)
left parenthesis 2 comma 2 right parenthesis

(10,5)

Answer 1

Interpreting the inequalities as y < (1/2)x and y > (1/3)x + 3:

For (25, 12): (1/2)·25 = 12.5, so 12 < 12.5 (true); (1/3)·25 + 3 ≈ 11.333, so 12 > 11.333 (true).

The other choices fail one or both inequalities. Thus (25, 12) is the solution.