Question

solve the inequality for y.
\\(\frac{y}{3} \leq -3\\)
simplify your answer as much as possible.

Explanation:

Step1: Multiply both sides by 3

To solve for \( y \) in the inequality \( \frac{y}{3} \leq -3 \), we multiply both sides of the inequality by 3. Since 3 is a positive number, the direction of the inequality sign remains the same. So we have \( 3\times\frac{y}{3} \leq 3\times(-3) \).

Step2: Simplify both sides

Simplifying the left - hand side, \( 3\times\frac{y}{3}=y \). Simplifying the right - hand side, \( 3\times(-3)= - 9 \). So we get \( y\leq - 9 \).

Answer:

\( y\leq - 9 \)