Solve the Inequality for x y>2x-5

$y > 2 x - 5$

Step 1

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

$2 x - 5 < y$

Step 2

Add $5$ to both sides of the inequality.

$2 x < y + 5$

Step 3

Divide each term in $2 x < y + 5$ by $2$ and simplify.

Divide each term in $2 x < y + 5$ by $2$ .

$\frac{2 x}{2} < \frac{y}{2} + \frac{5}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{y}{2} + \frac{5}{2}$

Divide $x$ by $1$ .

$x < \frac{y}{2} + \frac{5}{2}$