How do you solve #abs(2z+2)-1>3#?

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Answer 1 · 2018-06-26T13:08:43

#z>1# or #z<-3#

If #|2z+2|-1>3#, then

either we have #|2z+2|=2z+2#, in which case #|2z+2|-1>3#

becomes #2z+2-1>3#

or #2z>2# i.e. #z>1#

or #|2z+2|=-2z-2# (in case it is negative) and we have

#-2z-2-1>3#

or #-2z>6# i.e. #z<-3#