Is (
–
5,9) a solution to this system of inequalities?
y>8x–1
y<
–
7
5
x+7
To determine if (-5,9) is a solution to the system of inequalities, we need to test both inequalities with the given point (-5,9).
1. y > 8x - 1
9 > 8(-5) - 1
9 > -41
This is true, so (-5,9) satisfies the first inequality.
2. y < -7/5x + 7
9 < -7/5(-5) + 7
9 < 7 + 7
9 < 14
This is not true, so (-5,9) does not satisfy the second inequality.
Therefore, (-5,9) is not a solution to the system of inequalities.