Question

solve the inequality for w.
\\(\frac{w}{8} \leq 10\\)
simplify your answer as much as possible.

Explanation:

Step1: Multiply both sides by 8

To solve for \( w \) in the inequality \( \frac{w}{8} \leq 10 \), we multiply both sides of the inequality by 8. This is a valid operation for inequalities as long as we multiply by a positive number (which 8 is), so the direction of the inequality sign remains the same.

$$ \frac{w}{8} \times 8 \leq 10 \times 8 $$

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{w}{8}\times8 = w \). Simplifying the right - hand side, \( 10\times8=80 \). So we get \( w\leq80 \).

Answer:

\( w\leq80 \)