Pre-Algebra Examples

$\frac{1}{5} x \leq 3$

Step 1

Multiply each term in $\frac{1}{5} x \leq 3$ by $5$ .

$\frac{1}{5} x \cdot 5 \leq 3 \cdot 5$

Step 2

Simplify the left side.

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Step 2.1

Combine $\frac{1}{5}$ and $x$ .

$\frac{x}{5} \cdot 5 \leq 3 \cdot 5$

Step 2.2

Cancel the common factor of $5$ .

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Step 2.2.1

Cancel the common factor.

$\frac{x}{5} \cdot 5 \leq 3 \cdot 5$

Step 2.2.2

Rewrite the expression.

$x \leq 3 \cdot 5$

Step 3

Simplify the right side.

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Step 3.1

Multiply $3$ by $5$ .

$x \leq 15$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \leq 15$

Interval Notation:

$(- \infty, 15]$