-8x+106<-118

Answer 1

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

1. Isolate the term involving \(x\): \[ -8x + 106 < -118 \] Subtract 106 from both sides: \[ -8x < -118 - 106 \] \[ -8x < -224 \]

2. Divide by -8: When dividing or multiplying by a negative number, flip the inequality sign: \[ x > \frac{-224}{-8} \] \[ x > 28 \]

The solution to the inequality is: \[ x > 28 \]

This means that any value of \(x\) that is greater than 28 will satisfy the inequality.