(Solved) : 1 Relation R Equivalence Relation Set Find Distinct Equivalence Classes R B C D R B B B D Q26520718 . . . .

1) The relation R is an equivalence relation onthe set A. Find the distinct equivalence classesof R.
A = {a, b, c, d}
     R = {(a, a), (b, b), (b, d), (c, c), (d,b), (d, d)}

2) Let R be the relation of congruence modulo 7. Which ofthe following equivalence classes are equal?
   [35], [3], [−7], [12], [0], [−2], [17]

3) Determine whether the given relation is reflexive,symmetric, transitive, or none – explain your answer:

O is the relation defined on Z as follows: For all m, n EZ, m O n m-n is odd. Show transcribed image text

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