Solve the Inequality for k 4k-16<k+2

$4 k - 16 < k + 2$

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

Subtract $k$ from both sides of the inequality.

$4 k - 16 - k < 2$

Subtract $k$ from $4 k$ .

$3 k - 16 < 2$

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

Add $16$ to both sides of the inequality.

$3 k < 2 + 16$

Add $2$ and $16$ .

$3 k < 18$

Divide each term in $3 k < 18$ by $3$ and simplify.

Divide each term in $3 k < 18$ by $3$ .

$\frac{3 k}{3} < \frac{18}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 k}{3} < \frac{18}{3}$

Divide $k$ by $1$ .

$k < \frac{18}{3}$

Simplify the right side.

Divide $18$ by $3$ .

$k < 6$

The result can be shown in multiple forms.

Inequality Form:

$k < 6$

Interval Notation:

$(- \infty, 6)$