Submitted by: Submitted by kotikflorida
Views: 228
Words: 277
Pages: 2
Category: Business and Industry
Date Submitted: 07/04/2011 08:48 PM
Hello everybody,
According to our textbooks set A is a subset of set B, if and only all the elements of set A are also elements of set B. I am going to take my family as an example. First there were three of us – set A.
A= {Dan, Volha, Serena}
Then Sylver was born and now there are four of us- set B.
B= {Dan, Volha, Serena, Sylver}
Set A is a subset of set B, because all the elements (members of my family) are in set B plus our little one - Sylver.
Is set A a proper set of set B? Set A is a proper set of set B, if and only all the elements of set A are elements of set B and set A is NOT equal set B.
A= {Dan, Volha, Serena}
B= {Dan, Volha, Serena, Sylver}
In my situation set A is a proper set of set B because all elements of set A ( my family members) are in set B, and set B has an extra element ( Sylver ) in it so it makes two sets Not equal to each other, therefore, set A is a proper subset of set B.
The difference between a subset and a proper set that in order to have a proper set two sets cannot be equal to each other that is one of them has to have for at least one extra element.
No set is a proper set of itself.
If
A= {Dan, Volha, Serena}
A= {Dan, Volha, Serena}
Set A is equal set A, so it can not be a proper set of itself. They both have the same elements.