What is the correct translation of the following statement into mathematical…

GATE · 2012 · CS · Computer Science & IT

What is the correct translation of the following statement into mathematical logic?

“Some real numbers are rational”

  1. A.

    ∃x(real(x)∨rational(x))\exists x (\text{real}(x) \lor \text{rational}(x))

  2. B.

    ∀x(real(x)→rational(x))\forall x (\text{real}(x) \to \text{rational}(x))

  3. C.

    ∃x(real(x)∧rational(x))\exists x (\text{real}(x) \wedge \text{rational}(x))

  4. D.

    ∃x(rational(x)→real(x))\exists x (\text{rational}(x) \to \text{real}(x))

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