Algebra Examples

$\frac{1}{5} \leq \frac{x}{15}$

Step 1

Multiply both sides by $15$ .

$\frac{1}{5} \cdot 15 \leq \frac{x}{15} \cdot 15$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Simplify the left side.

Tap for more steps...

Step 2.1.1

Cancel the common factor of $5$ .

Tap for more steps...

Step 2.1.1.1

Factor $5$ out of $15$ .

$\frac{1}{5} \cdot (5 (3)) \leq \frac{x}{15} \cdot 15$

Step 2.1.1.2

Cancel the common factor.

$\frac{1}{5} \cdot (5 \cdot 3) \leq \frac{x}{15} \cdot 15$

Step 2.1.1.3

Rewrite the expression.

$3 \leq \frac{x}{15} \cdot 15$

Step 2.2

Simplify the right side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $15$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$3 \leq \frac{x}{15} \cdot 15$

Step 2.2.1.2

Rewrite the expression.

$3 \leq x$

Step 3

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

$x \geq 3$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$x \geq 3$

Interval Notation:

$[3, \infty)$