Pre-Algebra Examples

$\frac{r}{6} \leq 3$

Step 1

Multiply both sides by $6$ .

$\frac{r}{6} \cdot 6 \leq 3 \cdot 6$

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 $6$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{r}{6} \cdot 6 \leq 3 \cdot 6$

Step 2.1.1.2

Rewrite the expression.

$r \leq 3 \cdot 6$

$r \leq 3 \cdot 6$

$r \leq 3 \cdot 6$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $3$ by $6$ .

$r \leq 18$

$r \leq 18$

$r \leq 18$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$r \leq 18$

Interval Notation:

$(- \infty, 18]$

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