Question 10 A relation R on the set A is irreflexive if for every a E A, (a, a) ¢ R. A relation R on the set A is asymmetric if (a, 6) E Rimplies that (b, a) ¢ R. Let R be a relation defined on integers where (a, b) e R if and only if ab>0. Which of the following statements are true? Ris symmetric. O Ris an equivalence ralation. O Ris asymmetric O Ris antisymmetric. O Ris transitive. Ris a partial order. Ris reflexive. O Ris irreflexive.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter1: Expressions And Functions
Section1.7: Functions
Problem 60PFA
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Quèstion 10
A relation R on the set A is irreflexive if for every a E A, (a, a) ¢ R.
A relation R on the set A is asymmetric if (a, b) E Rimplies that (b, a) ¢ R.
Let R be a relation defined on integers where (a, b) e R if and only if ab>0. Which of the following statements are true?
Ris symmetric.
Ris an equivalence ralation.
Ris asymmetric
Ris antisymmetric.
Ris transitive.
Ris a partial order.
Ris reflexive.
R is irreflexive.
A Moving to the next guestion prouontu
Transcribed Image Text:* Question Completion Status: A Moving to the next question prevents changes to this answer. Quèstion 10 A relation R on the set A is irreflexive if for every a E A, (a, a) ¢ R. A relation R on the set A is asymmetric if (a, b) E Rimplies that (b, a) ¢ R. Let R be a relation defined on integers where (a, b) e R if and only if ab>0. Which of the following statements are true? Ris symmetric. Ris an equivalence ralation. Ris asymmetric Ris antisymmetric. Ris transitive. Ris a partial order. Ris reflexive. R is irreflexive. A Moving to the next guestion prouontu
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