Maharashtra State BoardHSC Arts 12th Board Exam
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If the statement p, q are true statement and r, s are false statement then determine the truth value of the following: (p → q) ∨ (r → s) - Mathematics and Statistics

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Sum

If the statement p, q are true statement and r, s are false statement then determine the truth value of the following:

(p → q) ∨ (r → s)

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Solution

Truth values of p and q are T and truth values of r and s are F.
(p → q) ∨ (r → s) ≡ (T → T) ∨ (F → F)
                            ≡ T ∨ T ≡  T
Hence the truth value of the given statement is true.

Concept: Truth Value of Statement
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