a) Write the proposition for the following English sentence: I) A) If Benjamin have cough, fever, and no smell, Benjamin is COVID19 positive. B) Write inverse, converse and countrapositive of English sentence in (A) II) Let p and q be the propositions "The election is decided" and "The votes have been counted," respectively. Express each of these compound propositions as English sentences. b) Proof using laws of logic I) (paq) → p is tautology II) -p +q p +-q

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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a) Write the proposition for the following English sentence:
I) A) If Benjamin have cough, fever, and no smell, Benjamin is COVID19 positive.
B) Write inverse, converse and countrapositive of English sentence in (A)
II) Let p and q be the propositions "The election is decided" and "The votes have been
counted," respectively. Express each of these compound propositions as English sentences.
b) Proof using laws of logic
I) (paq) → p is tautology
II) -p+q p ¬
Transcribed Image Text:a) Write the proposition for the following English sentence: I) A) If Benjamin have cough, fever, and no smell, Benjamin is COVID19 positive. B) Write inverse, converse and countrapositive of English sentence in (A) II) Let p and q be the propositions "The election is decided" and "The votes have been counted," respectively. Express each of these compound propositions as English sentences. b) Proof using laws of logic I) (paq) → p is tautology II) -p+q p ¬
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