2(-4-x)>-10

To solve the inequality \( 2(-4 - x) > -10 \), follow these steps: 1. Distribute the 2 on the left side: \[ -8 - 2x > -10 \] 2. Next, add 8 to both sides to isolate the term involving \( x \): \[ -2x > -10 + 8 \] \[ -2x > -2 \] 3. Now, divide each side by \(-2\). Remember that dividing or multiplying by a negative number reverses the inequality sign: \[ x < 1 \] Thus, the solution to the inequality \( 2(-4 - x) > -10 \) is: \[ x < 1 \]