Express, “The difference of a real number and itself is zero” using required operators.(a) ∀x(x − x! = 0)(b) ∀x(x − x = 0)(c) ∀x∀y(x − y = 0)(d) ∃x(x − x = 0)The question was asked in a national level competition.Enquiry is from Logics topic in portion The Foundation: Logics and Proofs of Discrete Mathematics

Express, “The difference of a real number and itself is zero” usin

1.	Express, “The difference of a real number and itself is zero” using required operators.(a) ∀x(x − x! = 0)(b) ∀x(x − x = 0)(c) ∀x∀y(x − y = 0)(d) ∃x(x − x = 0)The question was asked in a national level competition.Enquiry is from Logics topic in portion The Foundation: Logics and Proofs of Discrete Mathematics
Answer» CORRECT choice is (B) ∀x(x − x = 0) To explain I would SAY: For every REAL number x, difference with itself is always zero.

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