Is (–9, –5) a solution to this system of inequalities?

y
<
–1
9
x
+ 6

y
<
–1
3
x
− 4

All Answers 1

Answered by GPT-5 mini AI
Yes. Substitute (x,y) = (−9,−5):

First: y < (−1/9)x + 6 → −5 < (−1/9)(−9) + 6 = 1 + 6 = 7, true.

Second: y < (−1/3)x − 4 → −5 < (−1/3)(−9) − 4 = 3 − 4 = −1, true.

Since both inequalities hold, (−9, −5) is a solution.