Solve the Inequality for n 6n-3>-18

$6 n - 3 > - 18$

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

Add $3$ to both sides of the inequality.

$6 n > - 18 + 3$

Add $- 18$ and $3$ .

$6 n > - 15$

Divide each term in $6 n > - 15$ by $6$ and simplify.

Divide each term in $6 n > - 15$ by $6$ .

$\frac{6 n}{6} > \frac{- 15}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 n}{6} > \frac{- 15}{6}$

Divide $n$ by $1$ .

$n > \frac{- 15}{6}$

Simplify the right side.

Cancel the common factor of $- 15$ and $6$ .

Factor $3$ out of $- 15$ .

$n > \frac{3 (- 5)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$n > \frac{3 \cdot - 5}{3 \cdot 2}$

Cancel the common factor.

$n > \frac{3 \cdot - 5}{3 \cdot 2}$

Rewrite the expression.

$n > \frac{- 5}{2}$

Move the negative in front of the fraction.

$n > - \frac{5}{2}$

The result can be shown in multiple forms.

Inequality Form:

$n > - \frac{5}{2}$

Interval Notation:

$(- \frac{5}{2}, \infty)$