Solve the Inequality for x 4x+5<x-4

$4 x + 5 < x - 4$

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

Subtract $x$ from both sides of the inequality.

$4 x + 5 - x < - 4$

Subtract $x$ from $4 x$ .

$3 x + 5 < - 4$

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

Subtract $5$ from both sides of the inequality.

$3 x < - 4 - 5$

Subtract $5$ from $- 4$ .

$3 x < - 9$

Divide each term in $3 x < - 9$ by $3$ and simplify.

Divide each term in $3 x < - 9$ by $3$ .

$\frac{3 x}{3} < \frac{- 9}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} < \frac{- 9}{3}$

Divide $x$ by $1$ .

$x < \frac{- 9}{3}$

Simplify the right side.

Divide $- 9$ by $3$ .

$x < - 3$

The result can be shown in multiple forms.

Inequality Form:

$x < - 3$

Interval Notation:

$(- \infty, - 3)$