Is (–5, 9) a solution to this system of inequalities? 8x + 8y > –18 y ≤ 4

Answer 1

To determine if (–5, 9) is a solution to the system of inequalities, we will substitute the values of x and y into each inequality and see if they are satisfied.

For the first inequality, 8x + 8y > –18:
8(-5) + 8(9) > -18
-40 + 72 > -18
32 > -18

Since 32 is greater than -18, the inequality is true for this point.

For the second inequality, y ≤ 4:
9 ≤ 4

Since 9 is not less than or equal to 4, the inequality is false for this point.

Therefore, (–5, 9) is not a solution to the system of inequalities.