Solve the Inequality for x x/-5<=-2

$\frac{x}{- 5} \leq - 2$

Multiply both sides by $- 5$ .

$\frac{x}{- 5} \cdot - 5 \geq - 2 \cdot - 5$

Simplify.

Simplify the left side.

Simplify $\frac{x}{- 5} \cdot - 5$ .

Cancel the common factor of $5$ .

Factor $5$ out of $- 5$ .

$\frac{x}{5 (- 1)} \cdot - 5 \geq - 2 \cdot - 5$

Factor $5$ out of $- 5$ .

$\frac{x}{5 \cdot - 1} \cdot (5 \cdot - 1) \geq - 2 \cdot - 5$

Cancel the common factor.

$\frac{x}{5 \cdot - 1} \cdot (5 \cdot - 1) \geq - 2 \cdot - 5$

Rewrite the expression.

$\frac{x}{- 1} \cdot - 1 \geq - 2 \cdot - 5$

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

$\frac{x \cdot - 1}{- 1} \geq - 2 \cdot - 5$

Simplify the expression.

Move the negative one from the denominator of $\frac{x \cdot - 1}{- 1}$ .

$- 1 \cdot (x \cdot - 1) \geq - 2 \cdot - 5$

Rewrite $- 1 \cdot (x \cdot - 1)$ as $- (x \cdot - 1)$ .

$- (x \cdot - 1) \geq - 2 \cdot - 5$

Move $- 1$ to the left of $x$ .

$- (- 1 \cdot x) \geq - 2 \cdot - 5$

Rewrite $- 1 x$ as $- x$ .

$- - x \geq - 2 \cdot - 5$

Multiply $- - x$ .

Multiply $- 1$ by $- 1$ .

$1 x \geq - 2 \cdot - 5$

Multiply $x$ by $1$ .

$x \geq - 2 \cdot - 5$

Simplify the right side.

Multiply $- 2$ by $- 5$ .

$x \geq 10$

The result can be shown in multiple forms.

Inequality Form:

$x \geq 10$

Interval Notation:

$[10, \infty)$