Solve the Inequality for n 9n-24n+45>0

$9 n - 24 n + 45 > 0$

Subtract $24 n$ from $9 n$ .

$- 15 n + 45 > 0$

Subtract $45$ from both sides of the inequality.

$- 15 n > - 45$

Divide each term in $- 15 n > - 45$ by $- 15$ and simplify.

Divide each term in $- 15 n > - 45$ by $- 15$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- 15 n}{- 15} < \frac{- 45}{- 15}$

Simplify the left side.

Cancel the common factor of $- 15$ .

Cancel the common factor.

$\frac{- 15 n}{- 15} < \frac{- 45}{- 15}$

Divide $n$ by $1$ .

$n < \frac{- 45}{- 15}$

Simplify the right side.

Divide $- 45$ by $- 15$ .

$n < 3$

The result can be shown in multiple forms.

Inequality Form:

$n < 3$

Interval Notation:

$(- \infty, 3)$

Solve the Inequality for n 9n-24n+45>0

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