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A relation fr...

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A relation from a non - empty set $P$ to a non - empty set $Q$ is always a subset of cartesian product $P \times Q .$

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Q. 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 ), A R B if and only if A ⊂ B . Is R an equivalence relation on P( X )? Justify you answer:

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 ⊂ B. Is R an equivalence relation on P(X)? Justify you answer:

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