solve for x: -2x + 5 < 13

Answer 1

To solve the inequality \(-2x + 5 < 13\), follow these steps:

1. Subtract 5 from both sides: \[ -2x < 13 - 5 \] \[ -2x < 8 \]

2. Divide both sides by -2. Remember to reverse the inequality sign when dividing by a negative number: \[ x > \frac{8}{-2} \] \[ x > -4 \]

The solution to the inequality is: \[ x > -4 \]