can a relation be both reflexive and anti reflexive

(b) Is it possible to have a relation on the set {a, b, c} that is both symmetric and anti-symmetric? both can happen. The relations we are interested in here are binary relations on a set. So total number of reflexive relations is equal to 2 n(n-1). When I include the reflexivity condition{(1,1)(2,2)(3,3)(4,4)}, I always have … 6.3. This problem has been solved! (B) R is reflexive and transitive but not symmetric. A relation can be both symmetric and anti-symmetric: Another example is the empty set. i know what an anti-symmetric relation is. Reflexive because we have (a, a) for every a = 1,2,3,4.Symmetric because we do not have a case where (a, b) and a = b. Antisymmetric because we do not have a case where (a, b) and a = b. 9. Therefore each part has been answered as a separate question on Clay6.com. R is not reflexive, because 2 ∈ Z+ but 2 R 2. for 2 × 2 = 4 which is not odd. for example the relation R on the integers defined by aRb if a < b is anti-symmetric, but not reflexive. So if a relation doesn't mention one element, then that relation will not be reflexive: eg. Which is (i) Symmetric but neither reflexive nor transitive. Let A= { 1,2,3,4} Give an example of a relation on A that is reflexive and symmetric, but not transitive. Pages 11. The relation on is anti-symmetric. A binary relation R on a set X is: - reflexive if xRx; - antisymmetric if xRy and yRx imply x=y. This question has multiple parts. For relation, R, an ordered pair (x,y) can be found where x and y are whole numbers and x is divisible by y. A binary relation is called irreflexive, or anti-reflexive, if it doesn't relate any element to itself.An example is the "greater than" relation (x > y) on the real numbers.Not every relation which is not reflexive is irreflexive; it is possible to define relations where some elements are related to themselves but others are not (i.e., neither all nor none are). Now For Reflexive relation there are only one choices for diagonal elements (1,1)(2,2)(3,3) and For remaining n 2-n elements there are 2 choices for each.Either it can include in relation or it can't include in relation. If so, give an example. An antisymmetric relation may or may not be reflexive" I do not get how an antisymmetric relation could not be reflexive. Another version of the question is for reflexive but neither symmetric nor transitive. See the answer. Can A Relation Be Both Reflexive And Antireflexive? Whenever and then . a. reflexive. If a binary relation R on set S is reflexive Anti symmetric and transitive then. Click hereto get an answer to your question ️ Given an example of a relation. A binary relation is called irreflexive, or anti-reflexive, if it doesn't relate any element to itself.An example is the i don't believe you do. Reflexive and symmetric Relations means (a,a) is included in R and (a,b)(b,a) pairs can be included or not. Give an example of a relation which is (iv) Reflexive and transitive but not symmetric. If so, give an example. If So, Give An Example. If a binary relation r on set s is reflexive anti. For a relation R in set AReflexiveRelation is reflexiveIf (a, a) ∈ R for every a ∈ ASymmetricRelation is symmetric,If (a, b) ∈ R, then (b, a) ∈ RTransitiveRelation is transitive,If (a, b) ∈ R & (b, c) ∈ R, then (a, c) ∈ RIf relation is reflexive, symmetric and transitive,it is anequivalence relation Anti-reflexive: If the elements of a set do not relate to itself, then it is irreflexive or anti-reflexive. (b) Is It Possible To Have A Relation On The Set {a, B, C} That Is Both Symmetric And Anti-symmetric REFLEXIVE RELATION:IRREFLEXIVE RELATION, ... odd if and only if both of them are odd. (A) R is reflexive and symmetric but not transitive. 7. Question: For Each Of The Following Relations, Determine If It Is Reflexive, Symmetric, Anti- Symmetric, And Transitive. Expert Answer . Antisymmetric Relation Definition so neither (2,1) nor (2,2) is in R, but we cannot conclude just from "non-membership" in R that the second coordinate isn't equal to the first. Find out all about it here.Correspondingly, what is the difference between reflexive symmetric and transitive relations? Relations between people 3 Two people are related, if there is some family connection between them We study more general relations between two people: “is the same major as” is a relation defined among all college students If Jack is the same major as Mary, we say Jack is related to Mary under “is the same major as” relation This relation goes both way, i.e., symmetric Assume A={1,2,3,4} NE a11 a12 a13 a14 a21 a22 a23 a24 a31 a32 a33 a34 a41 a42 a43 a44 SW. R is reflexive iff all the diagonal elements (a11, a22, a33, a44) are 1. Hi, I'm stuck with this. , xRy defined by y=0 is irreflexive or anti-reflexive { ( 1,1 can a relation be both reflexive and anti reflexive ( 4,4 ) }, always. 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