Solve the System of Inequalities -1<9+n<17

$- 1 < 9 + n < 17$

Solve $- 1 < 9 + n$ for $n$ .

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

$9 + n > - 1$

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

Subtract $9$ from both sides of the inequality.

$n > - 1 - 9$

Subtract $9$ from $- 1$ .

$n > - 10$

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

Subtract $9$ from both sides of the inequality.

$n < 17 - 9$

Subtract $9$ from $17$ .

$n < 8$

Find the intersection of $n > - 10$ and $n < 8$ .

$- 10 < n < 8$

The result can be shown in multiple forms.

Inequality Form:

$- 10 < n < 8$

Interval Notation:

$(- 10, 8)$