4. Let X = {n €N : 10

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4. Let X = {n €N : 10 <n < 20}. Find examples of sets with the properties below and very
briefly explain why your examples work.
%3D
(a) A set A CN with |A| =
= 10 such that X \ A = {10, 12, 14}.
%3D
(b) A set B E P(X) with |B| = 5.
(c) A set C C P(X) with |C| = 5.
(d) A set D C X × X with |D| = 5
(e) A set E C X such that |E| € E.
Transcribed Image Text:4. Let X = {n €N : 10 <n < 20}. Find examples of sets with the properties below and very briefly explain why your examples work. %3D (a) A set A CN with |A| = = 10 such that X \ A = {10, 12, 14}. %3D (b) A set B E P(X) with |B| = 5. (c) A set C C P(X) with |C| = 5. (d) A set D C X × X with |D| = 5 (e) A set E C X such that |E| € E.
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