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Difference of Two Sets

Let A and B b...

Question

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

A - B = A \cup B

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A - B = A \cap B

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

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

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Solution

The correct option is D $A - B = A \cap B^{c}$
$A - B = {x : x \in A and x \notin B}$
$= {x : x \in A and x \in B^{c}} = A \cap B^{c}$

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