Question 1082970
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.


<a href = "http://www.mathcaptain.com/algebra/improper-subset.html" target = "_blank">http://www.mathcaptain.com/algebra/improper-subset.html</a>


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.