Pre-Algebra Examples

$3 < - 5 n + 2 n$

Step 1

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

$- 5 n + 2 n > 3$

Step 2

Add $- 5 n$ and $2 n$ .

$- 3 n > 3$

Step 3

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

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Step 3.1

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

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

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $- 3$ .

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Step 3.2.1.1

Cancel the common factor.

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

Step 3.2.1.2

Divide $n$ by $1$ .

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

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $3$ by $- 3$ .

$n < - 1$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n < - 1$

Interval Notation:

$(- \infty, - 1)$