- #1
fabbi007
- 20
- 0
Is Card (N even)< Card (N)? Where N even is set of all even Natural numbers, N is set of all Natural numbers.
Hint: use the mapping from N eve→Nn
N even to N is given by n-->n
a. Show examples of this mapping from N even
N even to N.
b. Is the mapping above onto? One-to-one?
My try at this question:
Since the mapping is n-->n it is the range of this mapping function is a proper subset of N hence the card (N even) <card (N) because there is one to one mapping and the N even maps into N.
Examples above mapping. 2->2, 4->4, 8->8, 268->268... Hence card(N even)< Card (N)
Hint: use the mapping from N eve→Nn
N even to N is given by n-->n
a. Show examples of this mapping from N even
N even to N.
b. Is the mapping above onto? One-to-one?
My try at this question:
Since the mapping is n-->n it is the range of this mapping function is a proper subset of N hence the card (N even) <card (N) because there is one to one mapping and the N even maps into N.
Examples above mapping. 2->2, 4->4, 8->8, 268->268... Hence card(N even)< Card (N)