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  3. 4) in this problem, we will explore how the cardin

4) In this problem, we will explore how the cardinality of a subset S ? X...

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Advance Math

4) In this problem, we will explore how the cardinality of asubset S ? X relates to the cardinality of a finite set X.

(i) Explain why |S| ? |X| for every subset S ? X when |X| =1.

(ii) Assume we know that if S ? , then |S| ? n. Explainwhy we can show that if T ? , then |T| ? n + 1.

(iii) Explain why parts (i) and (ii) imply that for every n ? N,every subset of is finite and has cardinality less than n+ 1.

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4Let and So the set contains exactly one element so its subset will also contains atmost one element because if contains    See Answer
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