Suppose C is a subset of D and D is a Subset of C.
If n(c)=5,find n(D)
what other relationship exists between C and D
If C ⊂ D ∪ D ⊂ C
it implies C = D.
Thus if the cardinality of C is 5, the cardinality of D is also 5.
The other relationship is, as mentioned above, C = D.
Correction
If C ⊂ D ∩ D ⊂ C
...
To find the value of n(D), we can use the concept of cardinality and the given relationship between C and D.
Since C is a subset of D, this means that all elements in C are also in D. Therefore, the cardinality of D, denoted as n(D), is equal to or greater than the cardinality of C, denoted as n(C).
Given that n(C) = 5, we can say that n(D) is greater than or equal to 5.
However, we cannot determine the exact value of n(D) based on the information provided. It could be any number greater than or equal to 5.
As for the other relationship between C and D, since C is a subset of D and D is a subset of C, this means that C and D are equal sets. In other words, they have the same elements.