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I've got this question concerning absolute value, although I understand the concept of absolute value, I can't quite understand why option B is bigger than option A.

I would really appreciate some explanation on the following question:

I am trying to post it in Latex, but in case that the comparison is not properly viewed, here is how it goes:

Option A

(everything inside absolute value symbol, the two vertical lines), sqrt2 - 1

Option B

(everything inside absolute value symbol, the two vertical lines)

1/2 - 1

I am getting very confused with something that appears to be simple and basic enough, do I need to review some other concepts? arithmetic and/or number properties? if so can someone pin point me to some web based explanations.

Thanks

And cheers to everyone