JEE Main 2024 Mathematics question
Let a relation R on N × N be defined as: (x, y) R (x, y) if and only if x ≤ x or y ≤ y. Consider the two statements: (I) R is reflexive but not symmetric. (II) R is transitive. Then which one of the following is true?
Answer: (B)
Solution
R is reflexive. It is not symmetric: (1, 1) R (2, 2) but (2, 2) is not related to (1, 1). It is not transitive:
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account