Solve the Inequality for x 2x-5<x-9

$2 x - 5 < x - 9$

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

Subtract $x$ from both sides of the inequality.

$2 x - 5 - x < - 9$

Subtract $x$ from $2 x$ .

$x - 5 < - 9$

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

Add $5$ to both sides of the inequality.

$x < - 9 + 5$

Add $- 9$ and $5$ .

$x < - 4$

The result can be shown in multiple forms.

Inequality Form:

$x < - 4$

Interval Notation:

$(- \infty, - 4)$