Algebra Examples

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

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.

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Step 2.1

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

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Add $2$ and $3$ .

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

Step 2.4

Divide $5$ by $5$ .

$w \leq 1$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$w \leq 1$

Interval Notation:

$(- \infty, 1]$