Solve the Inequality for x x/-1>2/5

$\frac{x}{- 1} > \frac{2}{5}$

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

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

Divide each term in $- 1 \cdot x > \frac{2}{5}$ by $- 1$ and simplify.

Divide each term in $- 1 \cdot x > \frac{2}{5}$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

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

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} < \frac{\frac{2}{5}}{- 1}$

Divide $x$ by $1$ .

$x < \frac{\frac{2}{5}}{- 1}$

Simplify the right side.

Move the negative one from the denominator of $\frac{\frac{2}{5}}{- 1}$ .

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

Rewrite $- 1 \cdot \frac{2}{5}$ as $- \frac{2}{5}$ .

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

The result can be shown in multiple forms.

Inequality Form:

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

Interval Notation:

$(- \infty, - \frac{2}{5})$

Solve the Inequality for x x/-1>2/5

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