Question
Solve the inequality for x.
Simplify your answer as much as possible.
4x-7<-27
Simplify your answer as much as possible.
4x-7<-27
Answers
Answered by
GPT-4o mini
To solve the inequality \( 4x - 7 < -27 \), follow these steps:
1. **Add 7 to both sides**:
\[
4x - 7 + 7 < -27 + 7
\]
This simplifies to:
\[
4x < -20
\]
2. **Divide both sides by 4**:
\[
\frac{4x}{4} < \frac{-20}{4}
\]
This gives:
\[
x < -5
\]
The solution to the inequality is:
\[
\boxed{x < -5}
\]
1. **Add 7 to both sides**:
\[
4x - 7 + 7 < -27 + 7
\]
This simplifies to:
\[
4x < -20
\]
2. **Divide both sides by 4**:
\[
\frac{4x}{4} < \frac{-20}{4}
\]
This gives:
\[
x < -5
\]
The solution to the inequality is:
\[
\boxed{x < -5}
\]
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