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What can you say about the sets A and B if \(A \oplus B = A\) ?

Short Answer

Expert verified

If \(A \oplus B = A\) then \(B = \emptyset \)

Step by step solution

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01

Step: 1

Given \(A \oplus B = A\)

\(A \oplus B = (A - B) \cup (B - A)\)

By given, we have\((A - B) \cup (B - A) = A\)

Then, we have B is an empty set.

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