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I have an equivalence relation that I need some help with. Normally I find these to be fairly simple, however I'm not sure if I'm over-thinking this one or if it's just tricky.

For the relation:

*aRb $\Longleftrightarrow$ |a| = |b|*on $\mathbb{R}$ determine whether it is an equivalence relation.

__Reflexive__: Would it really be reflexive? If

*a*= -2, then wouldn't

*|a|*= +2?

Or would it be reflexive, since all

*a*'s are contained in

*a*?