Question

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

Answer 1

The result is `y > x/2-3`.

The procedure is the following:
First, you can divide both member of the inequality by 2, thus obtaining: `x-2y < 6`
Then, you proceed to isolate the "y":
`x-2y < 6 => x < 2y+6 => 2y > x-6 => y > x/2-3`

Graphically you can visualize the set of solutions as the zone of the plane located over the line `y=x/2-3`:

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