Question

Is (-8, 3) a solution to this system of inequalities?

14x - y ≥ 9
8x + 20y > -4
yes

no

Answer 1

To determine if (-8, 3) is a solution to the system of inequalities, we can substitute these values for x and y in each inequality and see if the inequality is true or false.

For the first inequality, we have:

14x - y ≥ 9

14(-8) - 3 ≥ 9

-117 ≥ 9

This is false, so (-8, 3) is not a solution to the first inequality.

For the second inequality, we have:

8x + 20y > -4

8(-8) + 20(3) > -4

-44 > -4

This is true, so (-8, 3) is a solution to the second inequality.

Since (-8, 3) is not a solution to the first inequality, but is a solution to the second inequality, it is not a solution to the system of inequalities as a whole.

Therefore, the answer is no.