SOLUTION: Is the following statement true or false? Justify your answer. If elements of a set are removed the cardinality of the remaining set is always smaller.

SOLUTION: Is the following statement true or false? Justify your answer. If elements of a set are removed the cardinality of the remaining set is always smaller.

Algebra.Com

Question 1171927: Is the following statement true or false? Justify your answer.
If elements of a set are removed the cardinality of the remaining set is always smaller.

Answer by ikleyn(52802) (Show Source): You can put this solution on YOUR website!
.

It is true for all FINITE sets.

It is FALSE for INFINITE sets.

On the subject, see this Wikipedia article

https://en.wikipedia.org/wiki/Cardinality

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