Sets And Relations

Step 1: Checking Reflexivity.
For the relation to be reflexive, must hold for all . However, for some values of , such as , this condition is not satisfied. Therefore, the relation is not reflexive. Step 2: Checking Symmetry.
For symmetry, if , then must also be in . But if , it is not necessarily true that . Therefore, the relation is not symmetric. Step 3: Checking Transitivity.
For transitivity, if and , then must also be in . This does not hold for all values of , , and , so the relation is not transitive. Step 4: Conclusion.
Thus, the correct answer is (D) Neither reflexive nor symmetric nor transitive.