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Question

Question: Let A and B be subsets of a set X. Then...

Let A and B be subsets of a set X. Then

A

AB=ABA - B = A \cup B

B

AB=ABA - B = A \cap B

C

AB=AcBA - B = A ^ { c } \cap B

D

AB=ABcA - B = A \cap B ^ { c }

Answer

AB=ABcA - B = A \cap B ^ { c }

Explanation

Solution

xB}x \notin B \}

={x:xA= \{ x : x \in Aand xBc}=ABc\left. x \in B ^ { c } \right\} = A \cap B ^ { c } .