Is (1, 8) a solution to this system of inequalities?
y≥ -x + 10
y≤ x+ 7
To determine if (1, 8) is a solution to the system of inequalities, we need to substitute the values of x and y into each inequality and check if both inequalities are true.
For the first inequality, y ≥ -x + 10, we substitute x = 1 and y = 8:
8 ≥ -(1) + 10
8 ≥ -1 + 10
8 ≥ 9
This inequality is false, so (1, 8) is not a solution to the first inequality.
For the second inequality, y ≤ x + 7, we substitute x = 1 and y = 8:
8 ≤ (1) + 7
8 ≤ 8
This inequality is true.
Therefore, (1, 8) is only a solution to the second inequality y ≤ x + 7.