How do you solve # | x + 3| = | x - 1| #?

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Answer 1 · 2017-06-30T16:46:34

See below.

#| x + 3| = | x - 1|#

In absolute value, we want to set one side to #\pm# the other.

#| x + 3| =+ | x - 1|#
This gives no solutions.

#| x + 3| = -| x - 1|#

#x+3=-x+1#

#2x=-2#

#x=-1#

This is the only solution.