Question

solve for x. your answer must be simplified. 7 > \frac{x}{4}

Explanation:

Step1: Multiply both sides by 4

To solve for \( x \) in the inequality \( 7 > \frac{x}{4} \), we multiply both sides of the inequality by 4. Since 4 is a positive number, the direction of the inequality sign remains the same.

$$ 7\times4 > \frac{x}{4}\times4 $$

Step2: Simplify both sides

Simplifying both sides, we get:

$$ 28 > x $$

Which can also be written as \( x < 28 \).

Answer:

\( x < 28 \)