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.{4, 5, 6, 7, ...}
A.
{ | 4, | 5, | 6, | 7, ..., | n + 3, | ...} |
? | ? | ? | ? | ? |
{ | 3, | 4, | 5, | 6, ..., | n + 2, | ...} |
B.
{ | 4, | 5, | 6, | 7, ..., | n + 3, | ...} |
? | ? | ? | ? | ? |
{ | 5, | 6, | 7, | 8, ..., | n + 5, | ...} |
C.
{ | 4, | 5, | 6, | 7, ..., | n + 4, | ...} |
? | ? | ? | ? | ? |
{ | 3, | 4, | 5, | 6, ..., | n + 2, | ...} |
D.
{ | 4, | 5, | 6, | 7, ..., | n + 3, | ...} |
? | ? | ? | ? | ? |
{ | 5, | 6, | 7, | 8, ..., | n + 4, | ...} |
Answer: D
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