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

Answer 1

Isaiah Anthony

See below

Start by deducting 16 from both sides 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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Answer 2

Genesis Allen

To solve the equation |x + 2| + 16 = 14, first subtract 16 from both sides to isolate the absolute value term. This gives |x + 2| = -2. Since the absolute value of any real number is always non-negative, there is no solution to this equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.