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Given a non empty set X, consider P (X) ...

Given a non empty set X, consider P (X) which is the set of all subsets of X.
Define the relation R in P(X) as follows :
For subsets A, B in P(X), ARB if and only if `A sub B.` Is R an equivalence relation on `P (X)?` Justify your answer.

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The correct Answer is:
NO
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NCERT BANGLISH-RELATIONS AND FUNCTIONS -MISCLELLANEOUS EXERCISE ON CHAPTER 1
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  8. Given a non empty set X, consider P (X) which is the set of all subset...

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  9. Given a non-empty set X, consider the binary opertion **: P(X) xx P (Y...

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  14. Define a binary opertion ** on the set {0,1,2,3,4,5} as a**b ={{:(a+...

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