Solve the inequality 6x+1<5x−8

Answer 1

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:

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