Empty relation on a set A is the subset of Cartesian product $A \times A$

True

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False

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Solution

The correct option is A
True

We know that any relation is a subset of Cartesian product( definition of relation). So, empty relation would also be a subset of cartesian product $A \times A$

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Similar questions

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:

Empty relation on a set A is the subset of Cartesian product $A \times A$

P

Q

P \times Q .

P

Q

P \times Q .

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