1.

Prove that: A ⊂ B, B ⊂ C and C ⊂ A then A = C.

Answer»

We have A ⊂ B, B ⊂ C and C ⊂ A

∴ A ⊂ B ⊂ C ⊂ A. 

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

so 

A is a subset of C, i.e., A ⊂ C 

Also, C ⊂ A 

Hence C = A.



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