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基礎數學

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國立中興大學 2025 · 考試 · 第 3 題

考科離散數學

(2 points) If the domain of each variable consists of all real numbers, which of the following statements is true?

(A)
$\exists x \exists y\,(x + 2y = 2 \wedge 2x + 4y = 5)$
(B)
$\exists x \exists y\,(x + y \neq y + x)$
(C)
$\exists x \forall y\,(y \neq 0 \to xy = 1)$
(D)
$\forall x \exists y\,(x^2 = y)$
(E)
$\forall x \exists y\,(x + y = 2 \wedge 2x - y = 1)$

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