Posted by sabrina on Saturday, August 8, 2009 at 11:37am.
If B is a proper subset of C, we have
B ⊊ C
This means that B is a any subset of B which is not equal to C. So the maximum number of elements of B is the cardinality of C minus one.
Thus the maximum number of elements of B is 8-1 = 7.
Since the empty set ∅ is a member of every set, the least number of elements of B is 0.
Related Questions
Math(Subsets) - Part 1 I have to use symbols in my anwser Suppose B is proper ...
Survey of Mathematics - Give an example of a subset and a proper subset. ...
Foundations in Information Technology - Give an example of a subset and a proper...
Math - Describe whether the following statements are true or false and explain. ...
Math - I have to make a true statement with this question: {All states west of ...
math - 2-2A #2 Rewrite the following using mathematical symbols: a. P is equal ...
mathematics - Let A be a subset of T={1,2,
,100} subject to the condition ...
geometry!!!! - Let A be a subset of T={1,2,
,100} subject to the condition ...
Math - I was to answer this question: How are the idea of subsets and proper ...
geometry!!!! - Let A be a subset of T={1,2,
,100} subject to the condition ...
For Further Reading