Is (1, 7) a solution to this system of inequalities?
y > x + 6
y < 10x + 2
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.