Question

solve for a.
\frac{a}{-2} > 2

Explanation:

Step1: Multiply both sides by -2

When multiplying or dividing an inequality by a negative number, the direction of the inequality sign flips. So we have $\frac{a}{-2} \times (-2) < 2 \times (-2)$ (note the sign flip from > to < because we multiplied by -2).

Step2: Simplify both sides

Simplifying the left side gives $a$ and the right side gives $-4$. So $a < -4$.

Answer:

$a < -4$