Solve the inequality and graph it on the number line. Show the answer in interval notation. -4(x+2)>3x+20?

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Answer 1 · 2018-02-17T06:25:58

The solution is #x<-4# or #(-oo,-4)#.

Isolate #x# (don't forget to flip the inequality sign when you multiply or divide by #-1#):

#-4(x+2)>3x+20#

#-4x-8>3x+20#

#-7x-8>20#

#-7x>28#

#7x<-28#

#x<-4#

In interval notation, this is written #(-oo,-4)#.