Let P(x) be the statement "x = x²". If the universe of discourse is the integers, which of the following are 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
x = x² holds only for x = 0 and x = 1. So P(0), P(1) and ∃x P(x) are true; P(2) and ∀x P(x) are false.
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