Question

Let domain of m includes all students, P (m) be the statement “m spends more than 2 hours in playing polo”. Express ∀m ¬P (m) quantification in English.

(a) A student is there who spends more than 2 hours in playing polo

(b) There is a student who does not spend more than 2 hours in playing polo

(c) All students spends more than 2 hours in playing polo

(d) No student spends more than 2 hours in playing polo

I had been asked this question in homework.

My doubt stems from Predicate Logic Quantifiers in portion The Foundation: Logics and Proofs of Discrete Mathematics

Answer 1

Right answer is (d) No student spends more than 2 hours in playing polo

Explanation: There is no student who spends more than 2 hours in playing polo.