negative 4 left parenthesis w plus 5 right parenthesis plus 8 less than minus 28

Answer 1

To solve the inequality \(-4(w + 5) + 8 < -28\), follow these steps:

1. Distribute the \(-4\) on the left side: \[ -4w - 20 + 8 < -28 \]

2. Simplify the left side: \[ -4w - 12 < -28 \]

3. Add \(12\) to both sides: \[ -4w < -16 \]

4. Divide both sides by \(-4\). Remember that when you divide or multiply by a negative number, you need to reverse the inequality sign: \[ w > 4 \]

So, the solution to the inequality is: \[ w > 4 \]