Pre-Algebra Examples

$\frac{1}{5} x > 5$

Step 1

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

$\frac{1}{5} x \cdot 5 > 5 \cdot 5$

Step 2

Simplify the left side.

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Step 2.1

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

$\frac{x}{5} \cdot 5 > 5 \cdot 5$

Step 2.2

Cancel the common factor of $5$ .

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Step 2.2.1

Cancel the common factor.

$\frac{x}{5} \cdot 5 > 5 \cdot 5$

Step 2.2.2

Rewrite the expression.

$x > 5 \cdot 5$

Step 3

Simplify the right side.

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Step 3.1

Multiply $5$ by $5$ .

$x > 25$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 25$

Interval Notation:

$(25, \infty)$