6 x minus 5 greater than 5 x minus 8

Answer 1

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

1. Isolate the variable: Subtract \( 5x \) from both sides: \[ 6x - 5x - 5 > -8 \] This simplifies to: \[ x - 5 > -8 \]

2. Add 5 to both sides: \[ x > -8 + 5 \] Which simplifies to: \[ x > -3 \]

Thus, the solution to the inequality is: \[ x > -3 \]