Answer to Question #349297 in Discrete Mathematics for nouman

Question

Question 2: Let R be a relation in a set A, and derive from R another relation S in A as follows:

x S y if (x R y xor y R x).

Recall that xor, exclusive or, is defined as: p xor q is true if (p is true and q is false, or p is false and q is true).

a) Prove that S is irreflexive.

b) Prove that S is symmetric.

Answer 1

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