Solve for n 7n-1>-169

$7 n - 1 > - 169$

Step 1

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

Add $1$ to both sides of the inequality.

$7 n > - 169 + 1$

Add $- 169$ and $1$ .

$7 n > - 168$

Step 2

Divide each term in $7 n > - 168$ by $7$ and simplify.

Divide each term in $7 n > - 168$ by $7$ .

$\frac{7 n}{7} > \frac{- 168}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 n}{7} > \frac{- 168}{7}$

Divide $n$ by $1$ .

$n > \frac{- 168}{7}$

Simplify the right side.

Divide $- 168$ by $7$ .

$n > - 24$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$n > - 24$

Interval Notation:

$(- 24, \infty)$