Solution to Let A={n∈N:20≤n<50} and B={n∈N:10<n≤30}. Suppose C is a set such that C⊆A and C⊆B. What … - Sikademy
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Archangel Macsika

Let A={n∈N:20≤n<50} and B={n∈N:10

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Let A=\{n∈\N:20≤n<50\} and B=\{n∈\N:10<n≤30\}. Suppose C is a set such that C⊆A and C⊆B.

The largest set that is contained in A and B is A\cap B. Taking into account that the cardinality of A\cap B=\{20,21,22,23,24,25,26,27,28,29,30\} is equal to 11, we conclude that the largest possible cardinality of C is 11.

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