Convert to Set Notation 50>=15x

$50 \geq 15 x$

Step 1

Solve $x \leq \frac{10}{3}$ .

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

$15 x \leq 50$

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

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

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

Simplify the left side.

Cancel the common factor of $15$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

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

Factor $5$ out of $50$ .

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

Cancel the common factors.

Factor $5$ out of $15$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 2

Use the inequality $x \leq \frac{10}{3}$ to build the set notation.

${x | x \leq \frac{10}{3}}$

Step 3