Solve the Inequality for n 30<-3n

$30 < - 3 n$

Step 1

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

$- 3 n > 30$

Step 2

Divide each term in $- 3 n > 30$ by $- 3$ and simplify.

Divide each term in $- 3 n > 30$ by $- 3$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 3 n}{- 3} < \frac{30}{- 3}$

Simplify the left side.

Cancel the common factor of $- 3$ .

Cancel the common factor.

$\frac{- 3 n}{- 3} < \frac{30}{- 3}$

Divide $n$ by $1$ .

$n < \frac{30}{- 3}$

Simplify the right side.

Divide $30$ by $- 3$ .

$n < - 10$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$n < - 10$

Interval Notation:

$(- \infty, - 10)$

Solve the Inequality for n 30<-3n

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