Finite Math Examples

$y < \frac{1}{5} x$

Step 1

Rewrite so $x$ is on the left side of the inequality.

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

Step 2

Multiply each term in $\frac{1}{5} x > y$ by $5$ to eliminate the fractions.

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Step 2.1

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

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

Step 2.2

Simplify the left side.

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Step 2.2.1

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

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

Step 2.2.2

Cancel the common factor of $5$ .

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Step 2.2.2.1

Cancel the common factor.

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

Step 2.2.2.2

Rewrite the expression.

$x > y \cdot 5$

Step 2.3

Simplify the right side.

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Step 2.3.1

Move $5$ to the left of $y$ .

$x > 5 y$