Graph y>=5/2y+5

$y \geq \frac{5}{2} y + 5$

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

$y \geq \frac{5 y}{2} + 5$

Move all terms containing $y$ to the left side of the inequality.

Subtract $\frac{5 y}{2}$ from both sides of the inequality.

$y - \frac{5 y}{2} \geq 5$

To write $y$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$y \cdot \frac{2}{2} - \frac{5 y}{2} \geq 5$

Combine $y$ and $\frac{2}{2}$ .

$\frac{y \cdot 2}{2} - \frac{5 y}{2} \geq 5$

Combine the numerators over the common denominator.

$\frac{y \cdot 2 - 5 y}{2} \geq 5$

Simplify the numerator.

Move $2$ to the left of $y$ .

$\frac{2 \cdot y - 5 y}{2} \geq 5$

Subtract $5 y$ from $2 y$ .

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

Move the negative in front of the fraction.

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

Divide each term in $- \frac{3 y}{2} \geq 5$ by $- 1$ and simplify.

Divide each term in $- \frac{3 y}{2} \geq 5$ by $- 1$ . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.

$\frac{- \frac{3 y}{2}}{- 1} \leq \frac{5}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{\frac{3 y}{2}}{1} \leq \frac{5}{- 1}$

Divide $\frac{3 y}{2}$ by $1$ .

$\frac{3 y}{2} \leq \frac{5}{- 1}$

Simplify the right side.

Divide $5$ by $- 1$ .

$\frac{3 y}{2} \leq - 5$

Multiply both sides by $2$ .

$\frac{3 y}{2} \cdot 2 \leq - 5 \cdot 2$

Simplify.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{3 y}{2} \cdot 2 \leq - 5 \cdot 2$

Rewrite the expression.

$3 y \leq - 5 \cdot 2$

Simplify the right side.

Multiply $- 5$ by $2$ .

$3 y \leq - 10$

Divide each term in $3 y \leq - 10$ by $3$ and simplify.

Divide each term in $3 y \leq - 10$ by $3$ .

$\frac{3 y}{3} \leq \frac{- 10}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} \leq \frac{- 10}{3}$

Divide $y$ by $1$ .

$y \leq \frac{- 10}{3}$

Simplify the right side.

Move the negative in front of the fraction.

$y \leq - \frac{10}{3}$

Graph y>=5/2y+5

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