(7.4.5) Do the sets 25Z and 2Z have identical cardinality despite different structures?
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YouTubeMathematician
(7.4.5) Do the sets 25Z and 2Z have identical cardinality despite different structures?
This presentation demonstrates that the set of multiples of 25 (25Z) and the set of even integers (2Z) have the same cardinality by constructing an explicit bijection between them. The approach starts with visualizing both sets: 25Z contains elements like ..., -50, -25, 0, 25, 50, ... while 2Z contains ..., -4, -2, 0, 2, 4, .... By pairing ...
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