Solve for x 2/5>=x-4/5

$\frac{2}{5} \geq x - \frac{4}{5}$

Step 1

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

$x - \frac{4}{5} \leq \frac{2}{5}$

Step 2

Move all terms not containing $x$ to the right side of the inequality.

Add $\frac{4}{5}$ to both sides of the inequality.

$x \leq \frac{2}{5} + \frac{4}{5}$

Combine the numerators over the common denominator.

$x \leq \frac{2 + 4}{5}$

Add $2$ and $4$ .

$x \leq \frac{6}{5}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$x \leq \frac{6}{5}$

Interval Notation:

$(- \infty, \frac{6}{5}]$