Quandaries
and Queries
If A=(1,2,3,4,...) and B=(5,10,15,20,...), is A equivalent to B. Why or Why not ?
Hi,
By equivalent I expect that you are asking if there is a "one-to-ne relationship" between the sets or a "perfect matching" between the sets. I see a matchng between the sets in this way.
| 1 | <------> | 5 |
| 2 | <------> | 10 |
| 3 | <------> | 15 |
| 4 | <------> | 20 |
| . | <------> | . |
| . | <------> | . |
Thus every positive integer n on the left is paired with the 5 times n on the right. Also if you have a number on the right it is a multiple of 5, that is if m is on the right then there is a positive integer k so that m = 5 k and thus m, on the right is matched with k on the left.
Penny