Question

(\frac{1}{4}m leq -17)

Explanation:

Step1: Multiply both sides by 4

To solve for \( m \) in the inequality \( \frac{1}{4}m \leq -17 \), we multiply both sides of the inequality by 4. When we multiply both sides of an inequality by a positive number, the direction of the inequality sign remains the same. So we have:
\( 4\times\frac{1}{4}m \leq 4\times(-17) \)

Step2: Simplify both sides

Simplifying the left - hand side, \( 4\times\frac{1}{4}m=m \). Simplifying the right - hand side, \( 4\times(-17)=- 68 \). So the solution to the inequality is \( m\leq - 68 \)

Answer:

\( m\leq - 68 \)