Evaluate 2x-3y<6

$2 x - 3 y < 6$

Step 1

Add $3 y$ to both sides of the inequality.

$2 x < 6 + 3 y$

Step 2

Divide each term in $2 x < 6 + 3 y$ by $2$ and simplify.

Divide each term in $2 x < 6 + 3 y$ by $2$ .

$\frac{2 x}{2} < \frac{6}{2} + \frac{3 y}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} < \frac{6}{2} + \frac{3 y}{2}$

Divide $x$ by $1$ .

$x < \frac{6}{2} + \frac{3 y}{2}$

Simplify the right side.

Divide $6$ by $2$ .

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