Step by Step Solutions

[Solution] Let A, B, C, D, E ⊆ Z be defined as follows: A=2n|n ∈ Z - that is, A is the set of all (integer) multiples of 2; B=3n|n ∈ Z ,

Question: Let A, B, C, D, E \(\subseteq Z\) be defined as follows:

\(A=\{2n|n\in Z\}\) - that is, A is the set of all (integer) multiples of 2;

\(\begin{aligned} & B=\{3n|n\in Z\} \\ & C=\{4n|n\in Z\} \\ & D=\{6n|n\in Z\} \\ & E=\{8n|n\in Z\} \\ \end{aligned}\)
  1. Which of the following statements are true and which are false?
\(\begin{aligned} & i)E\subseteq C\subseteq A \\ & ii)A\subseteq C\subseteq E \\ & iii)B\subseteq D \\ & iv)D\subseteq B \\ & v)D\subseteq A \\ & vi)\bar{D}\subseteq \bar{A} \\ \end{aligned}\)

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