Practice question · Select all that apply
The domain is {1, 2, 3, 4, 5, 6}. Let P(x) be 'x is even'. Select every x that makes P(x) TRUE.
Hints
- A predicate becomes a proposition only once you substitute a specific value.
- Test each candidate; do not assume a pattern.
Show the answer
- A. 4
- C. 6
- D. 2
Why
P(2), P(4) and P(6) are true; P(1), P(3), P(5) are false. Because P holds for some but not all of the domain, 'there exists x, P(x)' is true here while 'for all x, P(x)' is false, the same predicate, two different quantified verdicts.
Practise Quantifiers and Predicates
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More questions on Quantifiers and Predicates
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