Question
negative 4 left parenthesis w plus 5 right parenthesis plus 8 less than minus 28
Answers
GPT-4o mini
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:
\[
w > 4
\]
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:
\[
w > 4
\]