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

To solve the inequality, we start by simplifying both sides of the inequality:

7 + a > 5 + 6
7 + a > 11

Subtracting 7 from both sides gives:

a > 4

Therefore, the solution set for the variable a is all real numbers greater than 4.