Question

solve the inequality for x.

$2 < -2 + \frac{x}{4}$

simplify your answer as much as possible.

Explanation:

Step1: Add 2 to both sides

To isolate the term with \( x \), we add 2 to both sides of the inequality \( 2 < -2 + \frac{x}{4} \). This gives \( 2 + 2 < -2 + 2 + \frac{x}{4} \), which simplifies to \( 4 < \frac{x}{4} \).

Step2: Multiply both sides by 4

To solve for \( x \), we multiply both sides of the inequality \( 4 < \frac{x}{4} \) by 4. This gives \( 4 \times 4 < \frac{x}{4} \times 4 \), which simplifies to \( 16 < x \) or \( x > 16 \).

Answer:

\( x > 16 \)