Solve the Inequality for x 18>=5x+4x

$18 \geq 5 x + 4 x$

Step 1

Rewrite so $x$ is on the left side of the inequality.

$5 x + 4 x \leq 18$

Step 2

Add $5 x$ and $4 x$ .

$9 x \leq 18$

Step 3

Divide each term in $9 x \leq 18$ by $9$ and simplify.

Divide each term in $9 x \leq 18$ by $9$ .

$\frac{9 x}{9} \leq \frac{18}{9}$

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

$\frac{9 x}{9} \leq \frac{18}{9}$

Divide $x$ by $1$ .

$x \leq \frac{18}{9}$

Simplify the right side.

Divide $18$ by $9$ .

$x \leq 2$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq 2$

Interval Notation:

$(- \infty, 2]$