Why is the absolute value of 6 the same as the one from -6?

Answer 1

the function "absolute value" is defined like this: |x|=

2.-x if x<0

so if x is egual to 6 |6|=6 because 6 is bigger then 0 and if x=-6 |-6|=-(-6)=6 because -6 is smaller then 0. PS sorry for bad english

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Answer 2

Nathan Axel

The absolute value of a number represents its distance from zero on the number line. Since both 6 and -6 are the same distance from zero but in opposite directions, their absolute values are the same. Therefore, the absolute value of 6 is the same as the absolute value of -6, both equal to 6.

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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.