Question

If A={2,4,6,8,10,12} and B={3,6,9,12,15} then A n B is

A. (A n B) = {2. 3. 4. 6. 8. 9. 10. 12}
B.(A n B) = {2,3,4,8,9,10}
C. (A n B) = {2,3,10,12}
D. (A n B) = {6,12}

Answer 1

Answer: Choice D) {6, 12}

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Step-by-step explanation:

The upside down U symbol means "set intersection". The intersection of two sets is the collection of all items that are in both sets at the same time.

In this case, only 6 and 12 are in both set A and set B at the same time, which is why choice D is the answer.

We can rule out choices A through C because 3 is not in set A (its only in set B).

Visually on a Venn Diagram, the intersection of the two sets will be shown as the overlapping region between the two circles A and B. So we'll have 6 and 12 in this overlapped region. The other values will go in their respective circles but not be in the overlapped region.