Item 0.3.25.a.

Suppose that \(A \subseteq B\) and \(B \subseteq C\text{.}\) Does this mean that \(A \subseteq C\text{?}\) Prove your answer. Hint: to prove that \(A \subseteq C\) you must prove the implication, “for all \(x\text{,}\) if \(x \in A\) then \(x \in C\text{.}\)”