How do you graph #4x+3y> -12#?

1 Answer
Alan P.
Apr 23, 2015

#4x+3y > -12#

Start with the equation of the line
#4x+3y = -12#

It is easy to establish the intercepts for this linear equation:
#(0,-4) " and " (-3,0)#

Draw a straight line through these two points.

Since the original inequality #4x+3y > -12#
indicates that values on the y-axis above #(-4)# are part of the solution, shade the area above the line you have drawn indicating the shaded area as the solution set.
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