Solve the Inequality for n 14<-6n-10

$14 < - 6 n - 10$

Step 1

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

$- 6 n - 10 > 14$

Step 2

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

Add $10$ to both sides of the inequality.

$- 6 n > 14 + 10$

Add $14$ and $10$ .

$- 6 n > 24$

Step 3

Divide each term in $- 6 n > 24$ by $- 6$ and simplify.

Divide each term in $- 6 n > 24$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 n}{- 6} < \frac{24}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 n}{- 6} < \frac{24}{- 6}$

Divide $n$ by $1$ .

$n < \frac{24}{- 6}$

Simplify the right side.

Divide $24$ by $- 6$ .

$n < - 4$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n < - 4$

Interval Notation:

$(- \infty, - 4)$

Solve the Inequality for n 14<-6n-10

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