Solve for n -8<n-2<5

$- 8 < n - 2 < 5$

Add $2$ to each section of the inequality because it does not contain the variable we are trying to solve for.

$- 8 + 2 < n < 5 + 2$

Add $- 8$ and $2$ .

$- 6 < n < 5 + 2$

Add $5$ and $2$ .

$- 6 < n < 7$

The result can be shown in multiple forms.

Inequality Form:

$- 6 < n < 7$

Interval Notation:

$(- 6, 7)$