Solve the Inequality for n 15<n+3-7n

$15 < n + 3 - 7 n$

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

$n + 3 - 7 n > 15$

Subtract $7 n$ from $n$ .

$- 6 n + 3 > 15$

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

Subtract $3$ from both sides of the inequality.

$- 6 n > 15 - 3$

Subtract $3$ from $15$ .

$- 6 n > 12$

Divide each term in $- 6 n > 12$ by $- 6$ and simplify.

Divide each term in $- 6 n > 12$ by $- 6$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 6 n}{- 6} < \frac{12}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 n}{- 6} < \frac{12}{- 6}$

Divide $n$ by $1$ .

$n < \frac{12}{- 6}$

Simplify the right side.

Divide $12$ by $- 6$ .

$n < - 2$

The result can be shown in multiple forms.

Inequality Form:

$n < - 2$

Interval Notation:

$(- \infty, - 2)$

Solve the Inequality for n 15<n+3-7n

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