Pre-Algebra Examples

$\frac{3}{5} x > 3$

Step 1

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

$\frac{3}{5} x \frac{5}{3} > 3 (\frac{5}{3})$

Step 2

Simplify the left side.

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Step 2.1

Combine $\frac{3}{5}$ and $x$ .

$\frac{3 x}{5} \cdot \frac{5}{3} > 3 (\frac{5}{3})$

Step 2.2

Cancel the common factor of $3$ .

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Step 2.2.1

Factor $3$ out of $3 x$ .

$\frac{3 (x)}{5} \cdot \frac{5}{3} > 3 (\frac{5}{3})$

Step 2.2.2

Cancel the common factor.

$\frac{3 x}{5} \cdot \frac{5}{3} > 3 (\frac{5}{3})$

Step 2.2.3

Rewrite the expression.

$\frac{x}{5} \cdot 5 > 3 (\frac{5}{3})$

Step 2.3

Cancel the common factor of $5$ .

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Step 2.3.1

Cancel the common factor.

$\frac{x}{5} \cdot 5 > 3 (\frac{5}{3})$

Step 2.3.2

Rewrite the expression.

$x > 3 (\frac{5}{3})$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $3$ .

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Step 3.1.1

Cancel the common factor.

$x > 3 (\frac{5}{3})$

Step 3.1.2

Rewrite the expression.

$x > 5$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x > 5$

Interval Notation:

$(5, \infty)$