Question

solve the inequality for w. -1 - 5w ≥ 9 simplify your answer as much as possible.

Explanation:

Step1: Add 1 to both sides

To isolate the term with \( w \), we add 1 to both sides of the inequality \(-1 - 5w \geq 9\). This gives us \(-1 - 5w + 1 \geq 9 + 1\), which simplifies to \(-5w \geq 10\).

Step2: Divide by -5 (reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign. So we divide both sides of \(-5w \geq 10\) by -5. This gives \( w \leq \frac{10}{-5}\), which simplifies to \( w \leq -2 \).

Answer:

\( w \leq -2 \)