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.{3, 7, 11, 15, ...}
A.
{ | 1, | 2, | 3, | 4, | ..., | n, | ...} |
? | ? | ? | ? | ? |
{ | 3, | 7, | 11, | 15, | ..., | 4n + 1, | ...} |
B.
{ | 1, | 2, | 3, | 4, | ..., | n, | ...} |
? | ? | ? | ? | ? |
{ | 3, | 7, | 11, | 15, | ..., | 3n + 2, | ...} |
C.
{ | 1, | 2, | 3, | 4, | ..., | n, | ...} |
? | ? | ? | ? | ? |
{ | 3, | 7, | 11, | 15, | ..., | 3n - 2, | ...} |
D.
{ | 1, | 2, | 3, | 4, | ..., | n, | ...} |
? | ? | ? | ? | ? |
{ | 3, | 7, | 11, | 15, | ..., | 4n - 1, | ...} |
Answer: D
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.
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What will be an ideal response?
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