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Determine the truth value of ∃n∃m(n + m = 5 ∧ n − m = 2) if the domain for all variables consists of all integers.

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Determine the truth value of ∃n∃m(n + m = 5 ∧ n − m = 2) if the domain for all variables consists of all integers.

(a) True

(b) False

The question was posed to me at a job interview.

My doubt stems from Logics in chapter The Foundation: Logics and Proofs of Discrete Mathematics

1 Answer

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Right option is (b) False

Explanation: The equation does not satisfy any value of m and n in the domain consist of integers.

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