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What is the difference between subset and proper subset?

What is the difference between subset and proper subset?
 

Grade:12th pass

2 Answers

Arun
25750 Points
4 years ago
A 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}. Then {1,2,4} and {1} are the proper subset while {1,2,3,4,5} is a subset.
Vikas TU
14149 Points
4 years ago
Dear student 
subset-it is the set of elements belonging to a given set
 
proper subset- in a proper subset, all elements does not belong to other given set.A proper subset is itself a subset.
Eg - A{1,2,3,4,5}
B{1,2,3} 
C{1,2,3,4,5}
here, B is the subest of A
as 1,2,3 belongs to A as well as B
and B is a proper subset of A
as all elements of b does not belongs to A
 
here c is a improper subset of A and vice versa as there is no element in C which does not belongs to A
 
1,2,3,4,5 belongs to A as well as C

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