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?

Question

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? (A) p alone (B) q alone (C) Both p and q (D) Neither p nor q

Tardigrade Admin · Accepted Answer

Recall the definitions of reflexive, symmetric and antisymmetric relations.

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?

$p$ alone

$q$ alone

Both $p$ and $q$

Neither $p$ nor $q$

Recall the definitions of reflexive, symmetric and antisymmetric relations.

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?

p alone

q alone

Both p and q

Neither p nor q

Recall the definitions of reflexive, symmetric and antisymmetric relations.

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?

$p$ alone

$q$ alone

Both $p$ and $q$

Neither $p$ nor $q$