Universal relation on set A and Cartesian product A × A has the same elements
True
False
We saw that universal relation is nothing but the cartesian product(definition). So they will have the same set of elements also.
Universal relation on a set A and universal set has same elements
A relation which has all the elements of set A is called universal relation on set A
Empty relation on a set A is the subset of Cartesian product A × A
A relation R is defined on the set Z (set of all integers) by “aRb if and only if 2a + 3b is divisible by 5”, for all a, b ∈ Z. Is this relation a symmetric relation?