Question 7

Explanation

The first step is to solve the given linear inequality in one variable.

Inequality:

Group the terms containing the variable $a$ on the left side and the constants on the right side:

Divide both sides by $2$:

It is given that $a$ is an integer greater than 7 ($a > 7$).

So we are looking for an integer that satisfies both of the following conditions:

1. $a \leq 8$
2. $a > 7$

This means $7 < a \leq 8$.

The only integer that satisfies this interval is:

Thus, the value of $a$ is $8$.