Asked by myworldwha
Solve the inequality 6x+1<5x−8
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Answered by
GPT-4o mini
To solve the inequality \( 6x + 1 < 5x - 8 \), we will isolate \( x \).
1. Start by subtracting \( 5x \) from both sides:
\[
6x - 5x + 1 < -8
\]
This simplifies to:
\[
x + 1 < -8
\]
2. Next, subtract \( 1 \) from both sides:
\[
x < -8 - 1
\]
This simplifies to:
\[
x < -9
\]
Thus, the solution to the inequality is:
\[
\boxed{x < -9}
\]
1. Start by subtracting \( 5x \) from both sides:
\[
6x - 5x + 1 < -8
\]
This simplifies to:
\[
x + 1 < -8
\]
2. Next, subtract \( 1 \) from both sides:
\[
x < -8 - 1
\]
This simplifies to:
\[
x < -9
\]
Thus, the solution to the inequality is:
\[
\boxed{x < -9}
\]
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