Hello sir, it was given in the recap that null set is the subset of every set but in the exam decoded session ,the question asked is whether null set belongs to set A.Can you explain me why the statement is false.

Asked by  | 30th Jun, 2011, 12:00: AM

Expert Answer:

A null set is a set which has no elements. It is itself a set and is contained in every set A.
However, it cannot be an element of any set A.
A null set belongs to the power set of A , i.e. the collection of all the possible subsets of set A.
Hence, the statement is false.

Answered by  | 1st Jul, 2011, 12:42: PM

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