Solve the Inequality for n 6(n+2)<-72

$6 (n + 2) < - 72$

Step 1

Divide each term in $6 (n + 2) < - 72$ by $6$ and simplify.

Divide each term in $6 (n + 2) < - 72$ by $6$ .

$\frac{6 (n + 2)}{6} < \frac{- 72}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 (n + 2)}{6} < \frac{- 72}{6}$

Divide $n + 2$ by $1$ .

$n + 2 < \frac{- 72}{6}$

Simplify the right side.

Divide $- 72$ by $6$ .

$n + 2 < - 12$

Step 2

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

Subtract $2$ from both sides of the inequality.

$n < - 12 - 2$

Subtract $2$ from $- 12$ .

$n < - 14$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$n < - 14$

Interval Notation:

$(- \infty, - 14)$