How do you solve #|x-2|<2#?

Question

1822 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-12T13:01:12

#0< x <2#

For #x>=2# we have

#x-2<2#

#x<4#
and in the first case we obtain

#2<=x<4#

if #x<2# we have

#-x+2<2#
so

#-x<0#

or

#x>0#

so we get for this inequality

#0 < x <2#