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Check validity of the following statements.(i) p: 125 is divisible by 5 and 7.(ii) q: 131 is a multiple of 3 or 11. |
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Answer» (i) We have,P : 125 is divisible by 5 and 7. Let q: 125 is divisible by 5. r: 125 is divisible by 7. q is true, r is false. => q ⋀ r is false. [since, p ⋀ q has the truth value F (false) whenever eitherp or q or both have the truth value F] Hence, p is not valid. (ii) We have, p: 131 is a multiple of 3 or 11. Let q: 131 is multiple of 3. r: 131 is a multiple of 11. p is true, r is false. => p v r is true. [since, p v q has the truth value T (true) whenever either p or q or both have the truth value T] Hence, q is valid. |
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