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About set identities
Udit Narayan
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Set Theory & Algebra
Apr 9, 2022
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Does associative properties follows only when all the operators in the given expression same (union or intersection) or it do follows when there are different symbols present in the given expression.
E.g.
a U (b U c) U d = a U b U (c U d) ;
(a U b) /\ c U d = a U (b /\ c) U d.
Udit Narayan
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Udit Narayan
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Associative properties follows only when symbols are same
You can take this example
A ={1,2,3}
B= {3,4,5}
C={1,3}
(AUB)∩C = {1,3}
AU(B∩C) = {1,2,3}
so we can see that both are not equal.
(AUB)∩C ≠ AU(B∩C)
Godlike
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Jun 22, 2022
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