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

1 Answer
Jul 1, 2018

See below

Explanation:

4x-2y<-3

Subtract 4x to both sides

-2y<-4x-3

Divide through by -2 and change the direction of the inequality.

y>2x+3/2

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

This is the straight line with slope 2 and y-intercept of +3/2

Then the graphic representation of the inequality is the area of all points where y 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]}