Solve the Inequality for n -132>12(n+9)

$- 132 > 12 (n + 9)$

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

$12 (n + 9) < - 132$

Divide each term in $12 (n + 9) < - 132$ by $12$ and simplify.

Divide each term in $12 (n + 9) < - 132$ by $12$ .

$\frac{12 (n + 9)}{12} < \frac{- 132}{12}$

Simplify the left side.

Cancel the common factor of $12$ .

Cancel the common factor.

$\frac{12 (n + 9)}{12} < \frac{- 132}{12}$

Divide $n + 9$ by $1$ .

$n + 9 < \frac{- 132}{12}$

Simplify the right side.

Divide $- 132$ by $12$ .

$n + 9 < - 11$

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

Subtract $9$ from both sides of the inequality.

$n < - 11 - 9$

Subtract $9$ from $- 11$ .

$n < - 20$

The result can be shown in multiple forms.

Inequality Form:

$n < - 20$

Interval Notation:

$(- \infty, - 20)$