Tell whether the given relation is reflexive, symmetric, transitive on the set of all people. Determine if the phrase is an equivalence relation. "is older than" Is the relation "is older than" reflexive? No Yes Is the relation "is older than" symmetric? No Yes Is the relation "is older than" transitive? 00 Yes No Is the relation an equivalence relation? Yes No

Q: d. Ris a relation on Z* such that (x, y) e R if and only if there is a positive integer n such that…

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Q: I have the following question and I also have the answer, I just dont understand why and how this…

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Q: Which of the following relations are transitive? The relations are in bold. (Remember: A relation R…

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Q: Define the relation R on the set of integers as Vm, n EZ, m Rniff 5|m - n Determine if the relation…

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Q: Define a relation D on the set of real of numbers as follows: Vx, y ER, xD y ⇒x-y is rational…

A: Correct option is  D is reflexive , symmetric and transitive.

Q: 1. R is the relation defined on Z as follows: Vm, n € Z, mRn 5|(m² — n²). (a). Prove that R is an…

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Q: Define a relation D on the set of real of numbers as follows: Vx, y ER, x Dy ⇒ x-y is rational…

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Q: c. Ris a relation on Z such that (x, y) e R if and only if xy 2 0. d. Ris a relation on Z* such that…

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Q: A relation R is defined on the set of integers by: aRb = a + b = 2m + 1, where m is an integer. Show…

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Q: Question 10 Indicate whether the relation is: • reflexive, anti-reflexive, or neither symmetric,…

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Q: Decide whether each of the following relations is an equivalence relation or not.  {(a, b) | gpa of…

A: To prove equivalence relation, we have to prove that (i) the relation is reflexive, (ii) the…

Q: Determine whether each relation is an equivalence relation. Justify your answer. If the relation is…

A: According to the given information it is required to check whether the given relation in each part…

Q: Which answer below best describes a relation on a set X? 0000 A relation is a A relation is a A…

A: Definition of relation on a set X.

Q: The 2-tuples (ordered pairs) of integers is the set Z x Z and can be given an equivalence relation…

A: The given set is ℤ×ℤ, where ℤ is the set of all integers. So basically ℤ×ℤ is the set of all ordered…

Q: Is this relation discrete or continuous? -50 -5 -5- O Discrete O Continuous

A: This relation is Discrete.

Q: Give an example of two equivalence relations R and S on the set A = {1, 2, 3} such that RUS is not…

A: 6 Given set is A=1,2,3. Consider the relation R and S on A is given by  R=1,1,2,2,3,31,2,2,1 And…

Q: Find two sets: Find sets A and B such that JA| -4, 8|-6 and JA or B-8. How large is A and B|? 3…

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Q: Subject: Set Theory

A: • Transitive relation means that, whenever an element a is related to an element b and b is related…

Q: Define a relation Ton the set of real numbers as follows: Vx, y ≤R, x Ty ⇒xy < 0 The relation is not…

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Q: Define a relation D on the set of real of numbers as follows: Vx, y ≤ R, x Dy x-y is rational ⇒…

A: Definitions of symmetric, reflexive,transitive are given.We have to check them .

Q: Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be…

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Q: Let A = {2,7,8,10} and B = {1,5,8,12} and let & be the "greater than or equal to" relation. That is,…

A: The given sets are A=2,7,8,10 and B=1,5,8,12 To find: The ordered pairs which satisfies σ and σ-1

Q: State the formal definitions that a relation must satisfy in order to count as Reflexive, Symmetric,…

A: Reflexive relation: A relation R is reflexive over element X if every element X is related to…