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For A=(Al, Beth, Carl, Evan) and B-(Beth, Dan, Evan, Fred), list all elements in AUB, A n B andA- B.

1 Answer

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Answer: 1) A∪B = {Al, Beth, Carl, Evan, Dan, Fred}

2) A∩B= {Beth, Evan}

3) A - B = only A = { Al, Carl}

Explanation:

Since we have given that

A={Al, Beth, Carl, Evan}

B = {Beth, Dan, Evan , Fred}

We need to find A∪B, A∩B and A - B .

Since A∪B is the set of union i.e. collection of all sets A and B.

So, A∪B = {Al, Beth, Carl, Evan, Dan, Fred}

A∩B is the set of intersection i.e. the common element in both the sets A and B.

A∩B= {Beth, Evan}

And A - B is the set containing only A but not B.

A - B = only A = { Al, Carl}

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