Solve the inequality 6x+1<5x−8

Question

.(1 point)
x

Answer 1

To solve the inequality \( 6x + 1 < 5x - 8 \), first, we need to isolate \( x \). Here are the steps:

1. Subtract \( 5x \) 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:

   \[ x < -9 \]

So the solution to the inequality is:

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