Question

1. 3 ≥ -2x - 5

Explanation:

Step1: Add 5 to both sides

To isolate the term with \(x\), we add 5 to both sides of the inequality \(3 \geq -2x - 5\). This gives us \(3 + 5 \geq -2x - 5 + 5\), which simplifies to \(8 \geq -2x\).

Step2: Divide both sides by -2 (and reverse inequality)

When dividing an inequality by a negative number, we must reverse the inequality sign. So, dividing both sides of \(8 \geq -2x\) by -2 gives \(\frac{8}{-2} \leq \frac{-2x}{-2}\), which simplifies to \(-4 \leq x\) or equivalently \(x \geq -4\).

Answer:

\(x \geq -4\)