Solve the Inequality for x 1/5<=x/15

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

Multiply both sides by $15$ .

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

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Factor $5$ out of $15$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Simplify the right side.

Cancel the common factor of $15$ .

Cancel the common factor.

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

Rewrite the expression.

$3 \leq x$

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

$x \geq 3$

The result can be shown in multiple forms.

Inequality Form:

$x \geq 3$

Interval Notation:

$[3, \infty)$