Solve for X 50>=15a

$50 \geq 15 a$

Step 1

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

$15 a \leq 50$

Step 2

Divide each term in $15 a \leq 50$ by $15$ and simplify.

Divide each term in $15 a \leq 50$ by $15$ .

$\frac{15 a}{15} \leq \frac{50}{15}$

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

$\frac{15 a}{15} \leq \frac{50}{15}$

Divide $a$ by $1$ .

$a \leq \frac{50}{15}$

Simplify the right side.

Cancel the common factor of $50$ and $15$ .

Factor $5$ out of $50$ .

$a \leq \frac{5 (10)}{15}$

Cancel the common factors.

Factor $5$ out of $15$ .

$a \leq \frac{5 \cdot 10}{5 \cdot 3}$

Cancel the common factor.

$a \leq \frac{5 \cdot 10}{5 \cdot 3}$

Rewrite the expression.

$a \leq \frac{10}{3}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$a \leq \frac{10}{3}$

Interval Notation:

$(- \infty, \frac{10}{3}]$