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CBSE Class 11-science Answered

What is difference between proper and improper subset? Is Phi a proper subset or not???
Asked by Jayant | 18 Apr, 2013, 10:49: AM
answered-by-expert Expert Answer
An improper subset is a subset containing every element of the original set. A proper subset contains some but not all of the elements of the original set. For example, consider a set {1,2,3,4,5,6}. Then {1,2,4} and {1} are the proper subset while {1,2,3,4,5} is an improper subset. 
 
The empty set i.e phi is a proper subset of any set with at least one element in it and improper subset of phi itself. 
 

Answered by | 18 Apr, 2013, 21:04: PM
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