If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, Which of the following is true?

A A ∪ B = {1, 2, 3, 4, 5, 6}

B A ∩ B = {3, 4}

C A - B = {1, 2}

D All of the above

Solution

Correct Answer: Option D

The symbols ∪, ∩, and - refer to the set operations union, intersection, and set difference, respectively.

The union of two sets A and B (denoted by A ∪ B) is the set of elements that are in A, or in B, or in both. So, A ∪ B is {1, 2, 3, 4, 5, 6}.

The intersection of two sets A and B (denoted by A ∩ B) is the set of elements that are in both A and B. So, A ∩ B is {3, 4}.

The set difference of A and B (denoted by A - B) is the set of elements that are in A but not in B. So, A - B is {1, 2}.

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