Solve for w 20>=4/5w

$20 \geq \frac{4}{5} w$

Step 1

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

$\frac{4}{5} w \leq 20$

Step 2

Multiply each term in $\frac{4}{5} w \leq 20$ by $\frac{5}{4}$ to eliminate the fractions.

Multiply each term in $\frac{4}{5} w \leq 20$ by $\frac{5}{4}$ .

$\frac{4}{5} w \frac{5}{4} \leq 20 (\frac{5}{4})$

Simplify the left side.

Combine $\frac{4}{5}$ and $w$ .

$\frac{4 w}{5} \cdot \frac{5}{4} \leq 20 (\frac{5}{4})$

Cancel the common factor of $4$ .

Factor $4$ out of $4 w$ .

$\frac{4 (w)}{5} \cdot \frac{5}{4} \leq 20 (\frac{5}{4})$

Cancel the common factor.

$\frac{4 w}{5} \cdot \frac{5}{4} \leq 20 (\frac{5}{4})$

Rewrite the expression.

$\frac{w}{5} \cdot 5 \leq 20 (\frac{5}{4})$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{w}{5} \cdot 5 \leq 20 (\frac{5}{4})$

Rewrite the expression.

$w \leq 20 (\frac{5}{4})$

Simplify the right side.

Cancel the common factor of $4$ .

Factor $4$ out of $20$ .

$w \leq 4 (5) \frac{5}{4}$

Cancel the common factor.

$w \leq 4 \cdot 5 \frac{5}{4}$

Rewrite the expression.

$w \leq 5 \cdot 5$

Multiply $5$ by $5$ .

$w \leq 25$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$w \leq 25$

Interval Notation:

$(- \infty, 25]$