Question

For $A=\{1\}$ and $C=\{1,2\}$, give an example of a set $B$ such that $\mathcal{P}(A) \subset B \subset \mathcal{P}(C)$.

   For $A=\{1\}$ and $C=\{1,2\}$, give an example of a set $B$ such that $\mathcal{P}(A) \subset B \subset \mathcal{P}(C)$.

Mathematical Proofs: A Transition to Advanced Mathematics

Mathematical Proofs: A Transition to Advanced Mathematics

Gary Chartrand,… 3rd Edition

Chapter 1, Problem 74

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Step 1

The power set of $A$ is $\mathcal{P}(A) = \{\emptyset, \{1\}\}$. Show more…

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For $A=\{1\}$ and $C=\{1,2\}$, give an example of a set $B$ such that $\mathcal{P}(A) \subset B \subset \mathcal{P}(C)$.

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