Solve the following inequality for x. -3x + 7 > -8

Answer 1

To solve the inequality \(-3x + 7 > -8\), follow these steps:

1. Subtract 7 from both sides: \[ -3x + 7 - 7 > -8 - 7 \] Simplifying this gives: \[ -3x > -15 \]

2. Divide both sides by -3. Remember that when you divide by a negative number, you must reverse the inequality sign: \[ x < \frac{-15}{-3} \] Simplifying this gives: \[ x < 5 \]

Thus, the solution to the inequality is: \[ x < 5 \]