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

1 Answer
smendyka
Jan 8, 2017

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/}

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