To determine if (-1, 7) is a solution to the system of inequalities, we need to check if it satisfies both inequalities.
1. For the inequality 2x + 5y > -6:
Substitute the coordinates (-1, 7):
2(-1) + 5(7) > -6
-2 + 35 > -6
33 > -6
This inequality is true, so (-1, 7) is a solution to the first inequality.
2. For the inequality 4x + 3y ≤ 2:
Substitute the coordinates (-1, 7):
4(-1) + 3(7) ≤ 2
-4 + 21 ≤ 2
17 ≤ 2
This inequality is not true. So, (-1, 7) is not a solution to the second inequality.
Since (-1, 7) does not satisfy both inequalities in the system, the answer is:
B. No