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.