Question

solve the inequality for x.
\frac{x}{4} - 7 > -11
simplify your answer as much as possible.

Explanation:

Step1: Add 7 to both sides

To isolate the term with \( x \), we add 7 to both sides of the inequality. This gives us \(\frac{x}{4}-7 + 7>-11 + 7\), which simplifies to \(\frac{x}{4}>-4\).

Step2: Multiply both sides by 4

To solve for \( x \), we multiply both sides of the inequality by 4. Since 4 is a positive number, the direction of the inequality sign remains the same. So, \( 4\times\frac{x}{4}>4\times(-4) \), which simplifies to \( x>-16 \).

Answer:

\( x > -16 \)