Solve the Inequality for w 2/5>=w-3/5

$\frac{2}{5} \geq w - \frac{3}{5}$

Step 1

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

$w - \frac{3}{5} \leq \frac{2}{5}$

Step 2

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

Add $\frac{3}{5}$ to both sides of the inequality.

$w \leq \frac{2}{5} + \frac{3}{5}$

Combine the numerators over the common denominator.

$w \leq \frac{2 + 3}{5}$

Add $2$ and $3$ .

$w \leq \frac{5}{5}$

Divide $5$ by $5$ .

$w \leq 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$w \leq 1$

Interval Notation:

$(- \infty, 1]$