Solve for k 18>=5k+4k

$18 \geq 5 k + 4 k$

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

$5 k + 4 k \leq 18$

Add $5 k$ and $4 k$ .

$9 k \leq 18$

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

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

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

Simplify the left side.

Cancel the common factor of $9$ .

Cancel the common factor.

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

Divide $k$ by $1$ .

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

Simplify the right side.

Divide $18$ by $9$ .

$k \leq 2$

The result can be shown in multiple forms.

Inequality Form:

$k \leq 2$

Interval Notation:

$(- \infty, 2]$