Question

solve for x. your answer must be simplified. 4x ≤ 12

Explanation:

Step1: Divide both sides by 4

To solve for \( x \) in the inequality \( 4x \leq 12 \), we divide both sides of the inequality by 4. Since 4 is a positive number, the direction of the inequality sign remains the same.
\[
\frac{4x}{4} \leq \frac{12}{4}
\]

Step2: Simplify both sides

Simplifying the left - hand side, \( \frac{4x}{4}=x \). Simplifying the right - hand side, \( \frac{12}{4} = 3 \). So we get \( x\leq3 \).

Answer:

\( x\leq3 \)