Question

solve the inequality for x.
-1 < -2 + \frac{x}{2}
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.
\( -1 + 2 < -2 + 2 + \frac{x}{2} \)
Simplifying the left and middle terms: \( 1 < \frac{x}{2} \)

Step2: Multiply both sides by 2

To solve for \( x \), we multiply both sides of the inequality by 2.
\( 1 \times 2 < \frac{x}{2} \times 2 \)
Simplifying both sides: \( 2 < x \) or \( x > 2 \)

Answer:

\( x > 2 \)