cardinality dealing with equal or equivalent sets?

Gertie

New member
Joined
Sep 12, 2007
Messages
2
I have a specific problem that I cannot figure out.
Question: A=is a set of residents age 61 or older living in the U.S.
B=is a set of residents age 61 or older registered to vote in the U.S.
Are these sets equal, equivalent, or both?
Thank you for your help!

Gertie
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
18,139
Gertie said:
I have a specific problem that I cannot figure out.
Question: A=is a set of residents age 61 or older living in the U.S.
B=is a set of residents age 61 or older registered to vote in the U.S.
Are these sets equal, equivalent, or both?
Thank you for your help!

Gertie
What are the conditions under which:

Two sets are equal

and

Two sets are equivalent
 

Gertie

New member
Joined
Sep 12, 2007
Messages
2
Cardinality deals with the number of elements in each set. If set A=4 humans and set B=4 animals then the sets are equivalent with 4 in each set, but they are not equal because they are not identical. another example would be A=(A,B,C) and set B=(A,B,C) they are equal and equivalent. Also, if an element is repeated in a set, then it is only counted once. example A=(A,B,B,C,C,C) this set still has only 3 elements because you only count (A,B,C) once. Thank you
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
18,139
Excellent!

Now tell me for the given problem:

Does A and B have same number of elements?
 
Top