Solve for x?

#|x-1| > 2- |x|#

1 Answer
Sonnhard
Jun 1, 2018

#x<-1/2# or #x>3/2#

Explanation:

Writing
#|x-1|+|x|>2#
Now we distinguish several cases:
a)#x>=1# then we have #x-1+x>2# so #x>3/2#
b)#0<=x<1# then we have #-x+1+x>2# which is impossible.
c)#x<0# then we get:
#-x+1-x>2#
so
#x<-1/2#

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