Solve Linear Inequalities Practice

To solve the inequality \( 6x + 1 < 5x - 8 \), follow these steps:

1. **Subtract \(5x\) from both sides** to get all terms involving \(x\) on one side:
\[
6x - 5x + 1 < -8
\]
This simplifies to:
\[
x + 1 < -8
\]

2. **Subtract 1 from both sides** to isolate \(x\):
\[
x < -8 - 1
\]
This simplifies to:
\[
x < -9
\]

Thus, the solution to the inequality \(6x + 1 < 5x - 8\) is:
\[
\boxed{x < -9}
\]