Pre-Algebra Examples

$\frac{n}{3} + 2 > 0$

Step 1

Subtract $2$ from both sides of the inequality.

$\frac{n}{3} > - 2$

Step 2

Multiply both sides by $3$ .

$\frac{n}{3} \cdot 3 > - 2 \cdot 3$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

$\frac{n}{3} \cdot 3 > - 2 \cdot 3$

Step 3.1.1.2

Rewrite the expression.

$n > - 2 \cdot 3$

$n > - 2 \cdot 3$

$n > - 2 \cdot 3$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $- 2$ by $3$ .

$n > - 6$

$n > - 6$

$n > - 6$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$n > - 6$

Interval Notation:

$(- 6, \infty)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$