How do you solve #abs(x-16)>24#?

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Answer 1 · 2018-03-13T15:15:16

The solution is #x in (-oo,-8)uu(40,+oo)#

The inequality is

#|x-16|>24#

Therefore,

#x-16>24# and #x-16<-24#

#x>40# and #x<-8#

The solution is

#x in (-oo,-8)uu(40,+oo)#

graph{(y-|x-16|)(y-24)=0 [-25.96, 56.22, -4.7, 36.4]}