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The compound statement A-> (A->B) is false, then the truth values of A, B are respectively _________

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The compound statement A-> (A->B) is false, then the truth values of A, B are respectively _________

(a) T, T

(b) F, T

(c) T, F

(d) F, F

I have been asked this question by my college professor while I was bunking the class.

The query is from Logics topic in portion The Foundation: Logics and Proofs of Discrete Mathematics

1 Answer

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Best answer

The correct answer for this question is (C) T, F

To explain I would say for implications to be false hypothesis should be true and the conclusion should be false

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