Solve for x 4x-9<x-15

$4 x - 9 < x - 15$

Step 1

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

Subtract $x$ from both sides of the inequality.

$4 x - 9 - x < - 15$

Subtract $x$ from $4 x$ .

$3 x - 9 < - 15$

Step 2

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

Add $9$ to both sides of the inequality.

$3 x < - 15 + 9$

Add $- 15$ and $9$ .

$3 x < - 6$

Step 3

Divide each term in $3 x < - 6$ by $3$ and simplify.

Divide each term in $3 x < - 6$ by $3$ .

$\frac{3 x}{3} < \frac{- 6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} < \frac{- 6}{3}$

Divide $x$ by $1$ .

$x < \frac{- 6}{3}$

Simplify the right side.

Divide $- 6$ by $3$ .

$x < - 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x < - 2$

Interval Notation:

$(- \infty, - 2)$