Question

Is (1, 7) a solution to this system of inequalities?

y > x + 6
y < 10x + 2

Answer 1

To determine if (1, 7) is a solution to the system of inequalities, we substitute the values of x and y into each inequality.

For the first inequality, y > x + 6:
7 > 1 + 6
7 > 7

Since 7 is not greater than 7, the first inequality is not satisfied.

For the second inequality, y < 10x + 2:
7 < 10(1) + 2
7 < 10 + 2
7 < 12

Since 7 is less than 12, the second inequality is satisfied.

Since (1, 7) satisfies only one of the inequalities, it is not a solution to the system.