Question

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

Answer 1

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

Answer 2

In the equation plug in x that is -1
2(-1) + a(-1) -7 > -12
-2 -a -7 > -12
+2           +2
-a -7 > -10
    +7    +7
-a > -3
divide by -1
a < 3
remember when ever you multiply or divide by a negative number flip the sign