Solve the Inequality for x y<=2x+5

$y \leq 2 x + 5$

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

$2 x + 5 \geq y$

Subtract $5$ from both sides of the inequality.

$2 x \geq y - 5$

Divide each term in $2 x \geq y - 5$ by $2$ and simplify.

Divide each term in $2 x \geq y - 5$ by $2$ .

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

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Move the negative in front of the fraction.

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