Is (-9, -10) a solution to this system of inequalities?
y < -6
y ≥ -7х + 3
To determine if (-9, -10) is a solution to the system of inequalities, we need to substitute the values of x and y into each inequality and see if the inequality is satisfied.
1. For the first inequality, y < -6, substituting (-9, -10) we get:
-10 < -6
This inequality is true.
2. For the second inequality, y ≥ -7x + 3, substituting (-9, -10) we get:
-10 ≥ (-7)(-9) + 3
-10 ≥ 63 + 3
-10 ≥ 66
This inequality is false.
Since (-9, -10) does not satisfy the second inequality, it is not a solution to the system of inequalities.