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

Subtracting 5 from both sides of the inequality gives us:

7 + a - 5 > 5 + 6 - 5

This simplifies to:

a + 2 > 6

Subtracting 2 from both sides gives us:

a > 4

Therefore, the variable a must be greater than 4 in the solution set.