Given the following sets: W={w | w is a whole number}, A={a | a=2w+2, w∈W} A⊆W, B={b | b=2w+1, w∈W} B⊆W

Determine the following: (A ∪ B) ∪ {0}

explain the answer.

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The answer is W.

A is the set of even numbers excluding zero. B is the set of odd numbers, 0 is not part of that set either.

W A B

0 2 1

1 4 3

2 6 5

etc.

Thus (AUB)U{0}=W

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