Question

Which of the following is an empty relation on AxB where A= {0, 2, 5}, B = {1, 4, 7}

• A. "Is greater than"
• B. "Is less than"
• C. "Is a square root of"
• D. "Is equal to"

Answer 1

The correct option is D

"Is equal to"

If we go through the options once, we will see that "is equal to" could be the relation which is empty. This is because there are no common elements between those two sets given. So the relation "is equal to" won't have any element or no element from set A will be connected to any element in B.

The relation “is greater than” will have elements (5,1) , (5, 4) and (2,1)

Relation “is less than” will have elements (0,1), (0,4), (0,7)...

"Is square root of" has only one element (2, 4), because 2 is square root of 4.

So the answer is D