Solve the Inequality for k 2+2k<=8

$2 + 2 k \leq 8$

Step 1

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

Subtract $2$ from both sides of the inequality.

$2 k \leq 8 - 2$

Subtract $2$ from $8$ .

$2 k \leq 6$

Step 2

Divide each term in $2 k \leq 6$ by $2$ and simplify.

Divide each term in $2 k \leq 6$ by $2$ .

$\frac{2 k}{2} \leq \frac{6}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 k}{2} \leq \frac{6}{2}$

Divide $k$ by $1$ .

$k \leq \frac{6}{2}$

Simplify the right side.

Divide $6$ by $2$ .

$k \leq 3$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$k \leq 3$

Interval Notation:

$(- \infty, 3]$