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 . Let the relation .
Since we conclude that the relation is not reflexive. Taking into account that and but we conclude that is not transitive. Since implies and implies the relation is symmetric.
Answer: d