Question

solve the inequality for w.
-32 < -6w - 14
simplify your answer as much as possible.

Explanation:

Step1: Add 14 to both sides

To isolate the term with \( w \), we add 14 to both sides of the inequality.
\( -32 + 14 < -6w - 14 + 14 \)
Simplifying both sides: \( -18 < -6w \)

Step2: Divide both sides by -6 (reverse inequality)

When dividing an inequality by a negative number, we reverse the inequality sign.
Divide both sides by -6: \( \frac{-18}{-6} > \frac{-6w}{-6} \)
Simplifying: \( 3 > w \) or \( w < 3 \)

Answer:

\( w < 3 \)