Let P(x) be the statement "x = x²". If the universe of discourse is the integers, which of the following have truth value TRUE?
(A) P(0)
(B) P(1)
(C) P(2)
(D) ∃x P(x)
(E) ∀x P(x)
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Correct answer: C. (A), (B) and (D) Only
Explanation
0 = 0² and 1 = 1² are true, 2 ≠ 4. So ∃x P(x) is true and ∀x P(x) is false.More Discrete Structures and Optimisation questions
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