X {n ∈ N : 10 ≤ n < 20}. Find examples of sets with the properties below and very briefly explain why your examples work. (a) A set A ⊆ N with |A| 10 such that X \ A {10, 12, 14}. (b) A set B ∈ P(X) with |B| 5. (c) A set C ⊆ P(X) with |C| 5. (d) A set D ⊆ X × X with |D| 5
X {n ∈ N : 10 ≤ n < 20}. Find examples of sets with the properties below and very briefly explain why your examples work. (a) A set A ⊆ N with |A| 10 such that X \ A {10, 12, 14}. (b) A set B ∈ P(X) with |B| 5. (c) A set C ⊆ P(X) with |C| 5. (d) A set D ⊆ X × X with |D| 5
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 13E: 13. Consider the set of all nonempty subsets of . Determine whether the given relation on is...
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Let X {n ∈ N : 10 ≤ n < 20}. Find examples of sets with the
properties below and very briefly explain why your examples work.
(a) A set A ⊆ N with |A| 10 such that X \ A {10, 12, 14}.
(b) A set B ∈ P(X) with |B| 5.
(c) A set C ⊆ P(X) with |C| 5.
(d) A set D ⊆ X × X with |D| 5
(e) A set E ⊆ X such that |E| ∈ E.
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