Solve the Inequality for c 2/5c>18

$\frac{2}{5} c > 18$

Step 1

Multiply each term in $\frac{2}{5} c > 18$ by $\frac{5}{2}$ .

$\frac{2}{5} c \frac{5}{2} > 18 (\frac{5}{2})$

Step 2

Simplify the left side.

Combine $\frac{2}{5}$ and $c$ .

$\frac{2 c}{5} \cdot \frac{5}{2} > 18 (\frac{5}{2})$

Cancel the common factor of $2$ .

Factor $2$ out of $2 c$ .

$\frac{2 (c)}{5} \cdot \frac{5}{2} > 18 (\frac{5}{2})$

Cancel the common factor.

$\frac{2 c}{5} \cdot \frac{5}{2} > 18 (\frac{5}{2})$

Rewrite the expression.

$\frac{c}{5} \cdot 5 > 18 (\frac{5}{2})$

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{c}{5} \cdot 5 > 18 (\frac{5}{2})$

Rewrite the expression.

$c > 18 (\frac{5}{2})$

Step 3

Simplify the right side.

Cancel the common factor of $2$ .

Factor $2$ out of $18$ .

$c > 2 (9) \frac{5}{2}$

Cancel the common factor.

$c > 2 \cdot 9 \frac{5}{2}$

Rewrite the expression.

$c > 9 \cdot 5$

Multiply $9$ by $5$ .

$c > 45$

Step 4

The result can be shown in multiple forms.

Inequality Form:

$c > 45$

Interval Notation:

$(45, \infty)$