Match the following. Given A = {1, 2, 3, 4, 5} B = {2, 4, 6} C = {1, 3, 5}

1. B ∪ C

A. {1, 3, 5}

2. A ∩ B

B, {2, 4}

3. A ∩ C

C. {1, 2, 3, 4, 5, 6}

4. A ∩ (B ∩ C)

D. {1, 2, 3, 4, 5}

5. A ∪ (B ∩ C) null, or empty set

C B A E D

Step-by-step explanation:

1. All numbers on either of lists B or C are all the numbers 1 ... 6, as in choice C.

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2. Numbers in B that are also in A are just 2 and 4. 6 is not in A. choice B.

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3. Numbers in both A and C are just the numbers in C. choice A.

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4. There are no numbers in both B and C, so B∩C is the empty set. Anything intersected with the empty set is the empty set. choice E.

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5. As in (4), but here, we want the union of A with the empty set. That result will be set A, choice D.