Question

1. $-2a \leq 8$

Explanation:

Step1: Divide both sides by -2

When dividing an inequality by a negative number, the inequality sign flips. So, divide both sides of \(-2a \leq 8\) by \(-2\):
\(\frac{-2a}{-2} \geq \frac{8}{-2}\)

Step2: Simplify both sides

Simplify the left side to get \(a\) and the right side to get \(-4\):
\(a \geq -4\)

Answer:

The solution to the inequality \(-2a \leq 8\) is \(a \geq -4\), which would be represented on the number line by a closed circle at \(-4\) and an arrow pointing to the right (towards greater values).