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

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

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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с) Use quantifiers to express the statement "if somebody is female and is a parent, then this person is someone's mother d) Let p and q be the propositions: p: I will do every exercise in this book q: I will get an 'A’ in this course Write the following propositions using p and q and logical connectives. i) For me to get an 'A’ in this course it is necessary and sufficient that I do every exercise in this book. ii) Construct the truth table for your proposition in d(i) above.
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