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

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spock5 | Student, Undergraduate | (Level 1) Honors

Posted April 27, 2012 at 1:11 PM via web

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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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rcmath | High School Teacher | (Level 1) Associate Educator

Posted April 27, 2012 at 6:58 PM (Answer #1)

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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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