prove that A is a subset of B , B is a subset of C and C is a subset of A . Then A= C
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The proof is explained step-wise below :
Step-by-step explanation:
Given that A is subset of B
⇒ A ⊆ B ........(1)
Also, Given that B is subset of C
⇒ B ⊆ C .......(2)
And C is subset of A
⇒ C ⊆ A .......(3)
Now, from equation (1) and equation (2)
We have, A ⊆ C .......(4)
So, from equation (3) and equation (4)
C ⊆ A and A ⊆ C
⇒ A = C
Hence proved.
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