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

1 Answer
Alan N.
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]}

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