Given a non empty set X, consider P(X) which is the set of all subsets

1.	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:
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:

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:

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: