# How do you solve for y: 2x – 4y < 12?

Apr 9, 2015

The result is $y > \frac{x}{2} - 3$.

The procedure is the following:
First, you can divide both member of the inequality by 2, thus obtaining: $x - 2 y < 6$
Then, you proceed to isolate the "y":
$x - 2 y < 6 \implies x < 2 y + 6 \implies 2 y > x - 6 \implies y > \frac{x}{2} - 3$

Graphically you can visualize the set of solutions as the zone of the plane located over the line $y = \frac{x}{2} - 3$:

graph{x/2-3 [-40, 40, -20, 20]}