Solution to Let A be {a, b, c}. Let the relation R be {(c, b), (a, a), … - Sikademy
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Archangel Macsika

Let A be {a, b, c}. Let the relation R be {(c, b), (a, a), (b, c)}. Which of the following statements about R is true? a. R is not reflexive, is not symmetric, and is not transitive. b. R is reflexive, is symmetric, and is not transitive. c. R is reflexive, is not symmetric, and is not transitive. d. R is not reflexive, is symmetric, and is not transitive.

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Let A= \{a, b, c\}. Let the relation R= \{(c, b), (a, a), (b, c)\}


Since (b,b)\notin R, we conclude that the relation R is not reflexive. Taking into account that (b,c)\in R and (c,b)\in R, but (b,b)\notin R, we conclude that R is not transitive. Since (b,c)\in R implies (c,b)\in R and (a,a)\in R implies (a,a)\in R, the relation R is symmetric.


Answer: d

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