Answer:
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.