Problem 95 (difficulty: 3/10)

Is it true for all triples \(\displaystyle A,B,C\) of sets that

(a) \(\displaystyle (A\triangle B)\triangle C = A\triangle(B\triangle C)\);

(b) \(\displaystyle (A\triangle B)\cap C = (A\cap C)\triangle(B\cap C)\);

(c) \(\displaystyle (A\triangle B)\cup C = (A\cup C)\triangle(B\cup C)\)?

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