How do you simplify #-|-33|#?

Answer 1

Keep in mind that the absolute value brackets only affect the value inside of them - it has no effect on what happens outside of them.

An absolute value bracket requires that the value inside be positive.

#-|-33|# should be used first.

Although the value #-33# is enclosed in absolute value brackets, the absolute value acts to make the value positive:

#-|33|#

When we remove the brackets in this question, there is a negative sign outside of the brackets: This means that we can now remove the absolute value and make the value positive.

#-33#

And that's the final response. The absolute value brackets don't change what happens outside of them; they just make sure the value inside of them is positive.

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Answer 2

Eli Assouline

To simplify ( -|-33| ), first evaluate the absolute value of ( -33 ), which is ( |-33| = 33 ). Then, apply the negative sign outside the absolute value, resulting in ( -33 ). Therefore, ( -|-33| = -33 ).

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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.