Question: Let ~, be defined so that a,b exactly when a b is divisible by 3. Is this an equivalence relation? If so, list the

Let ~, be defined so that a,b exactly when a b is

Let ~, be defined so that a,b exactly when a b is divisible by 3. Is this an equivalence relation? If so, list the equivalence classes. If not, which of the three properties (reflexive, symmetric, transitive) does not hold. Let2 be defined so that a~b exactly when a + b is even. Is this an equivalence relation? If so, list the equivalence classes. If not, which of the three properties (reflexive, symmetric, transitive) does not hold.

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