Question

solve for w.
\\(\frac{w}{-1} - 12.88 \geq -8.54\\)

Explanation:

Step1: Add 12.88 to both sides

To isolate the term with \( w \), we add 12.88 to both sides of the inequality.
\[
\frac{w}{-1} - 12.88 + 12.88 \geq -8.54 + 12.88
\]
Simplifying both sides, we get:
\[
\frac{w}{-1} \geq 4.34
\]

Step2: Multiply both sides by -1 (and reverse the inequality)

When we multiply or divide an inequality by a negative number, we must reverse the inequality sign. So we multiply both sides by -1:
\[
w \leq -4.34
\]
(The inequality sign flips from \( \geq \) to \( \leq \) because we multiplied by -1.)

Answer:

\( w \leq -4.34 \)