GATE CS 2014 Set 3 — Question 63
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Engineering Mathematics → Mathematical Logic → Predicate Logic & Quantifiers
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Question
The CORRECT formula for the sentence, "not all rainy days are cold" is
Correct answer
(D) ∃ d (Rainy(d) ∧ Cold(d))
Solution
The sentence "not all rainy days are cold" translates to the negation of "all rainy days are cold"."All rainy days are cold" is represented as:The negation is:Using the equivalence , the negation becomes:This corresponds to option (D).
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