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How do the English words and and or translate into set symbols?
AAnd gives the union, or gives the complement
BAnd gives the complement, or gives the union
CAnd gives the union, or gives the intersection
DAnd gives the intersection, or gives the union
Answer & Solution
Correct answer: D. And gives the intersection, or gives the union
1. The word and requires both characteristics at once, which is the intersection.
2. The word or requires only one of the two, so it is the union.
3. Swapping the two is the usual slip, and it turns an addition problem into a multiplication one.
4. The complement is a third idea, naming everything outside a set rather than combining two sets.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.5 Venn Diagrams_
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