Is (1, 10) a solution to this system of inequalities? y ≤ x + 9 y ≥ 3

Answer 1

To determine if the point (1, 10) is a solution to the system of inequalities, we need to check if it satisfies both inequalities.

For the first inequality, y ≤ x + 9, we substitute the values of x and y into the inequality:

10 ≤ 1 + 9

10 ≤ 10

This inequality is true, so the point (1, 10) satisfies the first inequality.

For the second inequality, y ≥ 3, we substitute the values of x and y into the inequality:

10 ≥ 3

This inequality is also true, so the point (1, 10) satisfies the second inequality.

Since the point (1, 10) satisfies both inequalities, it is a solution to the system.