How do you solve #|x + 2| + 16 = 14#?

1 Answer
Jan 8, 2017

Answer:

See below

Explanation:

First, subtract 16 from each side of the equation:

#abs(x + 2) + 16 - 16 = 14 - 16#

#abs(x + 2) + 0 = -2#

#abs(x + 2) = -2#

By definition of the absolute value function the result of the function will always be greater than or equal to #0#. Therefore there are no answers for this problem or the solution set is the null set - #x = {O/}#