Define a relation T on R as follows: for all x and y in R, x T y if and only if x2=y2. (a) Prove that T is an equivalence relation on R. (b) Find the distinct equivalence classes of T.

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Q: 1. if R and T are anti-symmetric relations on a set A then (R U T) is anti-symmetric relation on А.

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A: This problem can be solved as follows:

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