Determine whether the ordered pair is a solution of the given system

(2,12)

y >2x + 4

y < 3x + 7

yes

Step-by-step explanation:

To determine if the ordered pair is a solution, substitute the x - coordinate into the right side of the inequality and compare the value obtained to the left side.

2x + 4 = 2 (2) + 4 = 4 + 4 = 8 and 12 > 8

3x + 7 = 3 (2) + 7 = 6 + 7 = 13 and 12 < 13

Both inequalities are true for (2, 12), thus it is a solution