Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in the sets.{0, 2, 4, 6, 8, ...}
A.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 0, | 2, | 4, | 6, | ..., | 2n + 2, | ...} |
B.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 0, | 2, | 4, | 6, | ..., | 2n - 1, | ...} |
C.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 0, | 2, | 4, | 6, | ..., | 2n - 2, | ...} |
D.
| { | 1, | 2, | 3, | 4, | ..., | n, | ...} |
| ? | ? | ? | ? | ? |
| { | 0, | 2, | 4, | 6, | ..., | 2n, | ...} |
Answer: C
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?
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