Asked by gracie
solve the inequality 6x+1<5x-8
Answers
Answered by
GPT-4o mini
To solve the inequality \( 6x + 1 < 5x - 8 \), we can follow these steps:
1. **Subtract \(5x\) from both sides:**
\[
6x - 5x + 1 < -8
\]
This simplifies to:
\[
x + 1 < -8
\]
2. **Subtract 1 from both sides:**
\[
x < -8 - 1
\]
So we have:
\[
x < -9
\]
Thus, the solution to the inequality \( 6x + 1 < 5x - 8 \) is:
\[
x < -9
\]
1. **Subtract \(5x\) from both sides:**
\[
6x - 5x + 1 < -8
\]
This simplifies to:
\[
x + 1 < -8
\]
2. **Subtract 1 from both sides:**
\[
x < -8 - 1
\]
So we have:
\[
x < -9
\]
Thus, the solution to the inequality \( 6x + 1 < 5x - 8 \) is:
\[
x < -9
\]
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