Prove that:


Prove that: $A \subseteq B, B \subseteq C$ and $C \subseteq A \Rightarrow A=C$


Let $x \in A$

$\Rightarrow x \in B \quad(\because A \subseteq B)$

$\Rightarrow x \in C \quad(\because B \subseteq C)$

$\therefore x \in A \Rightarrow x \in C$

$\Rightarrow A \subseteq C$    ...(1)

It is given that,

$C \subseteq A$    ...(2)

From $(1)$ and $(2)$, we have


Leave a comment


Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now