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How do you solve # |x-4| <1 #?

1 Answer

Shwetank Mauria

Jul 31, 2016

Solution is #3< x< 5#

Explanation:

#|x-4|<1# means

either #x-4<1# i.e. #x<5#

or #-(x-4)<1# or

#(-x+4)<1# or

#(4-1)< x#

i.e. #x>3#

Hence solution is #3< x< 5#

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