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Question

Which of the following regarding null sets are correct.
(i) Empty set is considered as subset of all sets.
(ii) Union of an empty set ϕ with a set X is an empty set.
(iii) Intersection of an empty set with a set X is X.

A
(ii) and (iii)
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B
(i) only
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C
(i) and (ii)
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D
(i), (iii) and (iii)
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Solution

The correct option is D (i) only
(i) Empty set is considered as subset of all sets.
(ii) Union of an empty set ϕ with a set X is X.
(iii) Intersection of an empty set with a set X is an empty set .

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