Prove that A ⊆ B, B⊆ C and C⊆ A ⇒A = C.

Question:

 Prove that A ⊆ B, B⊆ C and C⊆ A ⇒A = C.

 

Solution:

We have $A \subseteq B, B \subseteq C$ and $C \subseteq A$

Now , A is a subset of B and B is a subset of C, So A is a subset of C.

Given that $C \subseteq A$.

Hence, A = C.

 

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