Pre-Algebra Examples

$\frac{x}{3} \geq - 6$

Step 1

Multiply both sides by $3$ .

$\frac{x}{3} \cdot 3 \geq - 6 \cdot 3$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $3$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{x}{3} \cdot 3 \geq - 6 \cdot 3$

Step 2.1.1.2

Rewrite the expression.

$x \geq - 6 \cdot 3$

$x \geq - 6 \cdot 3$

$x \geq - 6 \cdot 3$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 6$ by $3$ .

$x \geq - 18$

$x \geq - 18$

$x \geq - 18$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \geq - 18$

Interval Notation:

$[- 18, \infty)$

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