Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{5, 12, 19, 26, ...}
A.
| { | 5, | 12, | 19, | 26, | ..., | 7n + 2, | ...} |
| ? | ? | ? | ? | ? |
| { | 12, | 19, | 26, | 33, | ..., | 7n + 5, | ...} |
B.
| { | 5, | 12, | 19, | 26, | ..., | 7n - 2, | ...} |
| ? | ? | ? | ? | ? |
| { | 12, | 19, | 26, | 33, | ..., | 7n + 5, | ...} |
C.
| { | 5, | 12, | 19, | 26, | ..., | 7n - 12, | ...} |
| ? | ? | ? | ? | ? |
| { | 12, | 19, | 26, | 33, | ..., | 7n - 5, | ...} |
D.
| { | 5, | 12, | 19, | 26, | ..., | 7n - 2, | ...} |
| ? | ? | ? | ? | ? |
| { | 12, | 19, | 26, | 33, | ..., | 7n + 4, | ...} |
Answer: B
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