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For each of the subsequent relation evaluates if its an

Question- For each of the subsequent relation, evaluates if it's an equivalence relation, if it's right-invariant, and give the index if it is an equivalence relation:

Part 1) xRy iff x,y both belong to L or x,y both belong to not L

Part 2) For x,y ? {0,1}?, xRy iff

a. x, y both have an even number of 0?s or

b. x, y both have an odd number of 1?s

Part 3) For x,y ? (0+1)?

a. x, y both have an even number of 0?s or

b. x, y both have an odd number of 1?s

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