Question: Problem 5. [20 points, 10 each] Use the following three definitions and the laws of logic to prove the two identities given below. Definition of

Problem 5. [20 points, 10 each] Use the following three definitions

Problem 5. [20 points, 10 each] Use the following three definitions and the laws of logic to prove the two identities given below. Definition of Cartesian product: (x,y)AB(xA)(yB) Definition of intersection: xAB(xA)(xB) Definition of union: xAB(xA)(xB) a) A(BC)=(AB)(AC) b) A(BC)=(AB)(AC)

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