DSE 2004 doubts

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DSE 2004 doubts

tanudas
Can anyone please explain questions 1 , 20, 21?
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Re: DSE 2004 doubts

Noel
in Q1 only proposition 1 is true
(AUB)^(AUC) is empty (where ^ means intersection)
=> AU(B^C) is empty
union of two sets is empty implies the two sets are empty so A is empty and B^C is empty which proves proposition 1
for proposition 2, let A={1} B={2,3} and C={3,4}
check if the proposition holds now.