A probability problem by Himanshu Tiwari

Probability Level pending

Let A , B , C A,B,C be sets satisfying ( A B ) Δ ( B C ) = A Δ B (A-B) \Delta (B-C) = A \Delta B , where Δ \Delta denotes the symmetric difference of two sets.

Which of the following equations must be true?

None of these are true A = C A=C A B = B C A \cup B = B \cup C A B = B C A \cap B = B ∩ C

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