Evaluate 2x-1<x-8

$2 x - 1 < x - 8$

Move all terms containing $x$ to the left side of the inequality.

Subtract $x$ from both sides of the inequality.

$2 x - 1 - x < - 8$

Subtract $x$ from $2 x$ .

$x - 1 < - 8$

Move all terms not containing $x$ to the right side of the inequality.

Add $1$ to both sides of the inequality.

$x < - 8 + 1$

Add $- 8$ and $1$ .

$x < - 7$

The result can be shown in multiple forms.

Inequality Form:

$x < - 7$

Interval Notation:

$(- \infty, - 7)$