Solve for k 2k-9<=-19

$2 k - 9 \leq - 19$

Step 1

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

Add $9$ to both sides of the inequality.

$2 k \leq - 19 + 9$

Add $- 19$ and $9$ .

$2 k \leq - 10$

Step 2

Divide each term in $2 k \leq - 10$ by $2$ and simplify.

Divide each term in $2 k \leq - 10$ by $2$ .

$\frac{2 k}{2} \leq \frac{- 10}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 k}{2} \leq \frac{- 10}{2}$

Divide $k$ by $1$ .

$k \leq \frac{- 10}{2}$

Simplify the right side.

Divide $- 10$ by $2$ .

$k \leq - 5$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$k \leq - 5$

Interval Notation:

$(- \infty, - 5]$