Why is empty set a proper subset of all sets??

Asked by shreyanju | 24th Jul, 2012, 07:31: PM

Expert Answer:

Answer : The proper set means that a sunbset has all the members present in the other set. 
for eg : set   A= {1,2} and set B= {1,2,3,4}
=> A is a proper subset of B.
 
Similarly , the null set is defined as having no members ( empty set), therefore we can say that it is contained into all the sets , as it is neither increasing the lenght of any set, neither adding any member which is not present in the any set.

Answered by  | 25th Jul, 2012, 11:51: AM

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