Solve the Inequality for x y<2x+2

$y < 2 x + 2$

Step 1

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

$2 x + 2 > y$

Step 2

Subtract $2$ from both sides of the inequality.

$2 x > y - 2$

Step 3

Divide each term in $2 x > y - 2$ by $2$ and simplify.

Divide each term in $2 x > y - 2$ by $2$ .

$\frac{2 x}{2} > \frac{y}{2} + \frac{- 2}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{y}{2} + \frac{- 2}{2}$

Divide $x$ by $1$ .

$x > \frac{y}{2} + \frac{- 2}{2}$

Simplify the right side.

Divide $- 2$ by $2$ .

$x > \frac{y}{2} - 1$