Determine whether the relation R on the set of all real numbers is reflexive, symmetric, antisymmetric, and/or transitive, where (x, y) ∈∈ R if and only if     x = 1 or y = 1.

Q: If A = {1,2,3,4} give an example of a relation R on A that is: Reflexive and symmetric but not…

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Q: Let R be the relation {(a, b) | a‡b} on Z. Then, the reflexive closure of Ris

A: The smallest reflexive relation containing the original relation is called the reflexive closure of…

Q: {0, 1, 2, 3, 4, ...} and define the relation - on A by: x~y if x – y is divisible by 3 Determine…

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Q: Let A = {1, 2, 3, 4}. Give an example of a relation on A that is:    (a) reflexive and symmetric,…

A: Let A=1,2,3,4. To give an example of a relation on A that is:  (a) reflexive and symmetric, but not…

Q: Let R be the relation on set {a,b,c,d} containing ordered pairs (a,b),(b,b),(b,c)(c,a)(c,c) and…

A: Given set is A = {a, b, c, d} and the relation R on set A is R = {(a, b), (b, b), (b, c), (c, a),…

Q: Let ‘E’ & ‘F’ are any two non-empty sets and there order are as follows;…

A: given let ‘E’ & ‘F’ are any two non-empty sets and there order are as follows;…

Q: (a) Ri (b) R2= {(1,2), (1,3),(1,4),(2,2),(3,3),(5,3),(5,4),(5,2)} /hich of them is an equivalence…

A: Any relation is equivalence relation if satisfy the following conditions where is set of elements a)…

Q: For a,bEN define the relation a -b if and only if ab is a perfect square. Is this relation…

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Q: Let R be a relation over the positive integers defined as follows: R = {(a,b) | 2b < a < 3b }…

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Q: (i) Give an example of a relation S on A = {1,2, 3, 4} with S is reflexive, not symmetric and not…

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Q: (i) Let A = {1,2,3,4,5), then either find a relation on A that is not reflexive on A and not…

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Q: Indicate whether the relation is: •Reflexive, anti-reflexive, or neither •Symmetric,…

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Q: (a) x and y are in the same major. (b) x and y have the same last name. (c) x and y are taking a…

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Q: Let R2 be the relation on Z+ such that rR2y if and only if 2x + y is a multiple of 3. (Recall that…

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Q: Determine whether the relation R on the set of all real numbers is reflexive, symmetric,…

A: Consider the relation  for  Reflexive: For   Thus,  is not reflexive. Symmetric: For  but…

Q: Three relations are defined below. Decide whether each of these relations is reflexive, symmetric…

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Q: Let S be the set of all real numbers and let R be a relation in S, defined by R = {(a, b) : a < b}.…

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Q: For each of the following relations on a set {1, 2,3,4}, decide whether it is reflexive, whether it…

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Q: Let R1 be the relation on Z+ such that ¤R¡y if and only if ry > 3. (Recall that Z+ = {1,2, 3, 4,…

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Q: Define a relation R on Z as follows: For all integers m and n, 51(m² - n²). mRn (a) Is 1 R (-4)? Yes…

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Q: Let R be the relation on a set A = {a, b, c, d} defined by R= {(a, a), (a, b), (b, b), (b, c), (c,…

A: If R is a relation on a set A, then R^2 is the set of ordered pairs (a, c) such that there exists an…

Q: Determine whether the function f from { a, b, c, d} to { a, b, c, d} is injective (one - to - one),…

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Q: consider a relation R={(a,b)|0<=a-b<=1} on a set A={0,1,2,3,4} a) Describe R using masters method…

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Q: Let R be the set of all real numbers. Determine every function g: R→ R such that for all real…

A: We need to find all functions g : ℝ→ℝ that satisfies g(a2+ b+g(b))=2b+(g(a))2.

Q: Define the relation R over integers as follows: R = { (a, b) | |a - b| < 5 } Determine if R is (a)…

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Q: Which of these ordered pairs belongs to the "does not divide" relation on the set of positive…

A: Which of these ordered pairs belongs to the "does not divide" relation on the set of positive…

Q: Define a relation R on the x-y plane as follows: Given two points (x1 ,y1) and (x2 ,y2) in the x-y…

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