Problem 9 (#2.2.16).Let A and B be sets. Show correctly that a) (A∩B)⊆A. b) A⊆(A∪B). c) A\B⊆A. d) A∩(B\A) = ∅. e) A∪(B\A) = A∪B.

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Q: Let A,B,C⊆U. If n(U)=65, n(A)=24, n(B)=28, n(C)=32, n(A∩B)=15, n(A∩C)=7, n(B∩C)=11, and…

A: Given information: nA'∩B'∩C'=9nU-nA∩B∩C=965-nA∩B∩C=9       nA∩B∩C=65-9…

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Q: A={b,f,h,j,k,m} B={a,c,d,e,f,j,k}B={a,c,d,e,f,j,k} A∪BA∪B = {  } A∩BA∩B = {  } (A∩B)c(A∩B)c = {…

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Q: Prove the following parts of Theorem 2.2.1: For all sets A , B and C A ⊆ A ∪ B

A: Assume xϵA

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Q: heck ALL correct answers below.   A. A⊆B

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A: