1. Tardigrade
  2. Question
  3. Mathematics
  4. Consider the following statements: p: Every reflexive relation is a symmetric relation. q: Every anti-symmetric relation is reflexive. Which of the following is/are true?

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Q. Consider the following statements: $p$ : Every reflexive relation is a symmetric relation. $q$ : Every anti-symmetric relation is reflexive. Which of the following is/are true?

Sets, Relations, and Functions

Solution:

Recall the definitions of reflexive, symmetric and antisymmetric relations.