How do you solve the inequality #4 - 4x > 5(3 + x) #?

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Answer 1 · 2015-09-14T06:10:02

#x<-11/9#

#4-4x>5(3+x)#

Expand the right side of the inequality.

#4-4x>15+5x#

Subtract #4# from both sides.

#-4x>15+5x-4=#

#-4x>11+5x#

Subtract #5x# from both sides.

#-5x-4x>11=#

#-9x>11#

Divide both sides by #-9#. (This will reverse the inequality.)

#x<11/(-9)=#

#x<-11/9#