alfa@ 4.|| 34% O 5:35 PMdocs.google.com/forms63as the aboveLet A and B be two logically equivalentcompound propositions. ThenO AAB is a contradictionNone of these(AAB) - (AVB) is a contradictionAAB is a tautologyO (AAB) -- (AVB) is a tautologyWhichamongthe following statements is aproposition? *Take care of your health.None of these

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Description: alfa@ 4.|| 34% O 5:35 PMdocs.google.com/forms63as the aboveLet A and B be two logically equivalentcompound propositions. ThenO AAB is a contradictionNone of these(AAB) - (AVB) is a contradictionAAB is a tautologyO (AAB) -- (AVB) is a tautologyWhicha

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Let A and B be two logically equivalent compound propositions. Then * O AAB is a contradiction O None of these O (AAB) -- (AVB) is a contradiction AAB is a tautology O (AAB) -- (AVB) is a tautology

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Author:Erwin Kreyszig

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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alfa
@ 4.|| 34% O 5:35 PM
docs.google.com/forms
63
as the above
Let A and B be two logically equivalent
compound propositions. Then
O AAB is a contradiction
None of these
(AAB) - (AVB) is a contradiction
AAB is a tautology
O (AAB) -- (AVB) is a tautology
Which
among
the following statements is a
proposition? *
Take care of your health.
None of these

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• (Fill in the blanks) A tautology is a proposition which • A contradiction is a proposition which • The contrapositive of the conditional P Q is the conditional • True or False? The contrapositive of P = Qis logically equivalent to P = Q. • The converse of the conditional P Q is the conditional • The converse of P → Qis always logically equivalent to P » Q. • The negation of the conditional P = Q is the proposition • State de Morgan's laws for propositions P and Q: ¬(P V Q) ¬(PA Q) + Exercises 2.1.1 Express each of the following statements in the "If ..., then ..." form. There are many possible correct answers. (a) You must eat your dinner if you want to grow. (b) Being a multiple of 12 is a sufficient condition for a number to be even. (c) It is necessary for you to pass your exams in order for you to obtain a degree. (d) A triangle is equilateral only if all its sides have the same length.