How do you graph the inequality 4x-2y<-34x2y<3?

1 Answer
Jul 1, 2018

See below

Explanation:

4x-2y<-34x2y<3

Subtract 4x4x to both sides

-2y<-4x-32y<4x3

Divide through by -22 and change the direction of the inequality.

y>2x+3/2y>2x+32

Now consider the limiting case where: y=2x+3/2y=2x+32

This is the straight line with slope 22 and y-yintercept of +3/2+32

Then the graphic representation of the inequality is the area of all points where yy is greater than but not equal to values on this line. Shown as the shaded area below.

graph{4x-2y<-3 [-12.66, 12.65, -6.33, 6.33]}