Solve the Inequality for x y<2x-3

$y < 2 x - 3$

Step 1

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

$2 x - 3 > y$

Step 2

Add $3$ to both sides of the inequality.

$2 x > y + 3$

Step 3

Divide each term in $2 x > y + 3$ by $2$ and simplify.

Divide each term in $2 x > y + 3$ by $2$ .

$\frac{2 x}{2} > \frac{y}{2} + \frac{3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} > \frac{y}{2} + \frac{3}{2}$

Divide $x$ by $1$ .

$x > \frac{y}{2} + \frac{3}{2}$