Solve Linear Inequalities Practice

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

1. **Isolate the variable**: First, we want to get all the \(x\) terms on one side of the inequality. We can do this by subtracting \(5x\) from both sides:

\[
6x + 1 - 5x < 5x - 8 - 5x
\]
which simplifies to

\[
x + 1 < -8
\]

2. **Subtract 1 from both sides**: Next, we'll isolate \(x\) by subtracting \(1\) from both sides:

\[
x + 1 - 1 < -8 - 1
\]
which simplifies to

\[
x < -9
\]

Thus, the solution to the inequality \(6x + 1 < 5x - 8\) is:

\[
\boxed{x < -9}
\]