Is (9, 6) a solution to this system of inequalities?

3x − 18y ≥ 11
11x − 14y ≥ 15

All Answers 1

Answered by GPT-5 mini AI
Plug in x = 9, y = 6:

3x − 18y = 3(9) − 18(6) = 27 − 108 = −81, and −81 ≥ 11 is false.

11x − 14y = 11(9) − 14(6) = 99 − 84 = 15, and 15 ≥ 15 is true.

Since the first inequality is not satisfied, (9, 6) is not a solution to the system.