Solve the Inequality for y -3>2y

$- 3 > 2 y$

Step 1

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

$2 y < - 3$

Step 2

Divide each term in $2 y < - 3$ by $2$ and simplify.

Divide each term in $2 y < - 3$ by $2$ .

$\frac{2 y}{2} < \frac{- 3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} < \frac{- 3}{2}$

Divide $y$ by $1$ .

$y < \frac{- 3}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$y < - \frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Inequality Form:

$y < - \frac{3}{2}$

Interval Notation:

$(- \infty, - \frac{3}{2})$