Given 2x + ax – 7 > -12, determine the largest integer value of a when x = -1.

The largest integer value for a would be 2.

To do this problem, we need to input -1 for x and solve the equation for y.

2x + ax - 7 > -12
2(-1) + a(-1) - 7 > -12
-1a -9 > -12
-1a > -3
a < 3

The largest integer possible would be 2 because a must be less than 3.