Answer to Question #275317 in Discrete Mathematics for fish

Discrete Mathematics

Question #275317

What is the truth value of ∀xP(x), where P(x) is the statement “x²< 10” and the domain consists

of the positive integers not exceeding 4?

Expert's answer

$x^2<10\implies x\in (-\sqrt{10},\sqrt{10})$ . $4>\sqrt{10}$ , so, P(4) = 0, so, the given statement is false

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