How do you solve #abs[2x-2]<=13#?

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Answer 1 · 2016-05-26T18:06:46

#-6.5<=x<=7.5#

#|2x-2|<=13# is the given inequality

So we can take,

#2x-2<=13 # -----AND----- # -13<=2x-2#

#2x-2<=13#

#2x<=15#

#x<=7.5#

#-13<=2x-2#

#-11<=2x#

#-6.5<=x#

Now since there is an and situation we will use intersection

#-6.5<=x<=7.5#