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If a and b have the same cardinality, and b and c have the same cardinality, then a and c have the same cardinality?

1) True
2) False

User Shebi
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1 Answer

2 votes

Final answer:

The statement is true. If a and b have the same cardinality, and b and c have the same cardinality, then a and c have the same cardinality.

Step-by-step explanation:

The statement is True. If a and b have the same cardinality, it means that there is a one-to-one correspondence between the elements of a and b, and every element in a is paired with a unique element in b. Similarly, if b and c have the same cardinality, there is a one-to-one correspondence between the elements of b and c. Therefore, if we combine these two one-to-one correspondences, we can establish a one-to-one correspondence between the elements of a and c, indicating that a and c also have the same cardinality.

User Perishable Dave
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