3. For any set ( A, B ) define the symmetric sum ( A oplus B ) to be the set ( A cup B-(A cap B) ). Prove that: (a) ( A oplus B=B oplus A ) (b) ( A oplus B= varnothing, varnothing ) is empty set 4. Show that the sets ( mathbb{Z} ) and ( mathbb{Z}^{+} )have the same cardinality.

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3. For any set  ( A, B  ) define the symmetric sum  ( A  oplus B  ) to be the set  ( A  cup B-(A  cap B)  ). Prove that: (a)  ( A  oplus B=B  oplus A  ) (b)  ( A  oplus B= varnothing,  varnothing  ) is empty set 4. Show that the sets  (  mathbb{Z}  ) and  (  mathbb{Z}^{+}  )have the same cardinality.

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This an additional answer to -      3. For any set  ( A, B  ) define the symmetric sum  ( A  oplus B  ) to be the set  ( A  cu

(Solved): 3. For any set \( A, B \) define the symmetric sum \( A \oplus B \) to be the set \( A \cu ...

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