-8x+106>-118

Answer 1

To solve the inequality \(-8x + 106 > -118\), follow these steps:

1. Isolate the term with \(x\): Subtract 106 from both sides: \[ -8x + 106 - 106 > -118 - 106 \] This simplifies to: \[ -8x > -224 \]

2. Solve for \(x\): Now divide both sides by -8. Remember that dividing or multiplying by a negative number reverses the inequality: \[ x < \frac{-224}{-8} \] This simplifies to: \[ x < 28 \]

Thus, the solution to the inequality is: \[ x < 28 \]