Finding B and C to Satisfy Conditions

[mafagafo]

Homework Statement

Find B and C such that
$$\emptyset \in C$$
$$B \in C$$
$$B \subset C$$

The Attempt at a Solution

$$B=\emptyset$$
$$C=\{B\}$$
It just does not look right. Any feedback?

 

[Fredrik]

Looks good. B is clearly an element of C, and since $B=\varnothing$, this means that $\varnothing$ is an element of C. The subsets of C are $\varnothing$ and $C$. Since $B=\varnothing$, this means that B is a subset of C.