Problem

Let R be the equivalence relation defined in Example 2.13. Give an example to, sho...

Let R be the equivalence relation defined in Example 2.13. Give an example to, show that it is possible that p R x and q R y are both true, yet (p + q) R (x + y) and pq R xy are both false. Thus the definitions [p] +[q] = [p + q] and [p][q]=[pq] do not define meaningful operations on the equivalence classes of R.

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