Question 1082970: how can i differenciate proper and improper subsets
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! a proper subset is completely contained in its superset but is not equal to its superset.
eample:
set A = {1,2,3,4,5}
set B = {1,2,3,4,5}
set C = {1,2,3,4}
set B is an improper subset of set A because it is wholly contained within set A but is also the same as set A.
set C is a proper subset of A because it is wholly contained within set A but is not also the same as set A.
every set is an improper subset of itself.
no set can ever be a proper subset of itself.
here's a definition from the web.
http://www.mathcaptain.com/algebra/improper-subset.html
any questions, send me an email.
if a set has only 1 element, then the only proper subset is the null set.
if a set has no elements, then there is no proper subset, but there is an improper subset, namely another set that has no elements.
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