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 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 AsubB . Is R an equivalence relation on P(X) ? Justify your 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

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 of A sub B . Is R an equivalence relation on P(X) . Justify your answer.

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

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

Let A and B be two non-empty subsets of a set X such that A is not a subset of B then

If P and Q are two non-empty subsets of a set X such that P is not a subset of Q, then: