Solve the inequality 6x+1<5x−8

Answer 1

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

1. Subtract \( 5x \) from both sides: \[ 6x + 1 - 5x < 5x - 8 - 5x \] This simplifies to: \[ x + 1 < -8 \]

2. Subtract 1 from both sides: \[ x + 1 - 1 < -8 - 1 \] This simplifies to: \[ x < -9 \]

So, the solution to the inequality is: \[ \boxed{x < -9} \]