Exam Actual Complete Real Exam Questions And Correct Answers
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set intersection
A∩B = {x∈U | x∈A and x∈B}
(overlap between sets A & B; elements they share)
commutative law (propositional logic version)
P∨Q≡QvP
P∧Q≡Q∧P
associative law (propositional logic version)
P v (Q v R) ≡ (P v Q) v R
P ^ (Q ^ R) ≡ (P ^ Q) ^ R
,distributive law (propositional logic version)
P v (Q ^ R) ≡ (P v Q) ^ (P v R)
P ^ (Q v R) ≡ (P ^ Q) v (P ^ R)
negation (propositional logic version)
P v ~P ≡ T (tautology)
P ^ ~P ≡ C (contradiction)
double negation (propositional logic version)
~(~P) ≡ P
negation of T, C (propositional logic version)
∼T ≡ C
~C ≡ T
identity law (propositional logic version)
PvC≡P
P∧T≡P
(the statement is true if P is true; false if P is false)
universal bound law (propositional logic version)
PvT≡T
P^C≡C
, DeMorgan's Law (propositional logic version)
~(P v Q) ≡ ~P ^ ~Q
~(P ^ Q) ≡ ~P v ~Q
absorption law (propositional logic version)
P v (P ^ Q) ≡ P P ^ (P v Q) ≡ P
(2nd part of statement gets absorbed by 1st part)
Modus Ponens (propositional version; valid argument form)
P→Q P
∴Q