Using mental math, solve the inequality 7 plus a > 5 plus 6. in the solution set, the variable a, must be greater than what.

To solve the inequality 7 + a > 5 + 6, we need to simplify both sides of the inequality and isolate the variable a.

First, simplify the left side:
7 + a > 5 + 6
7 + a > 11

Next, subtract 7 from both sides to isolate the variable a:
a > 11 - 7
a > 4

The solution set is a > 4, which means the variable a must be greater than 4.