For each relation, indicate whether the relation is: • Reflexive, anti-reflexive, or neither • Symmetric, anti-symmetric, or neither Transitive or not transitive ustify your answer. (a) The domain of the relation L is the set of all real numbers. For z, y € R, ILy if 1 < y. (b) The domain of the relation A is the set of all real numbers. IÂy if |r-y| <2 (c) The domain of the relation Z is the set of all real numbers. xZy if y = 2r

Q: a. Write a set of ordered pairs (x, y) that defines the relation. b. Write the domain of the…

A: As there are multiple sub parts, only first three are solved here.

Q: In a high school graduation class, (x,y) is in the relation r if person x is the same height as…

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Q: Let R = {(x, y) ∣ x ≥ y} be a relation from set A = {6} to B = {5,7}. a. List the order pairs of…

A: Given,          R=x,y/x≥y          Set A=6          Set B=5,7

Q: The domain of the relation A is the set of all real numbers. zAy if (r-y| ≤2

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Q: 13 In secondary school the word "relation" is used to describe a set of ordered pairs. In (a) and…

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Q: A (a,b,c,d} 1. Find a relation which is symmetric but nelther reflexive and not transitive on A. ii.…

A: A relation R from a set A to another set B is reflexive if and only if x R x holds for all x in A. A…

Q: A person’s birth date consists of the month, day, and year in which that person was born. The domain…

A: Here, relation R is given as a set of people where no two people in group can have same date of…

Q: Let R be the relation {(1,2), (1,3), (2,3), (2,4), (3,1)} and let S be the relation {(2,1), (3,1),…

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Q: Decide whether the relation is reflexive, symmetric or transitive. You do not need to justify your…

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Q: 4 1) 3 bes this digraph illustrate a relation that is symmetric or transitive or neither? ymmetrid…

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Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

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Q: The domain for the relation R is Z × Z. (a,b) R (c,d) if and only if a <c and b< d. Indicate whether…

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Q: Relations Let I be a set of sports teams: T= {Red Sox, Patriots, Spurs, Blackhawks, Giants, Celtics…

A: Given that the relation A ('affiliated') is defined as x affiliated with y means x and y won…

Q: 2 = y. Select the description that accurately describes The domain of a relation R is the set of…

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Q: S={1,2,3,4}; Relation A={(1, 2), (1, 3), (3, 4), (3, 1)}; Relation B={(2, 3), (3, 2), (1, 4), (4,…

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Q: Below is the arrow diagram for relation S with the domain {a, b, c, d}. Define relation T to be So…

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Q: (c) The domain of relation D is {2, 3, 12, 16, 27, 48). For x, y in the domain, xDy if y is an…

A: To draw: The arrow diagram for each relation (c) The domain of relation D is 2, 3, 12, 16, 27, 48.…

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

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Q: Let A = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the…

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Q: Could you please help me?

A: The example of the set and their relation which is Symmetry , Transitive but not reflexive  A=1,2,3…

Q: The domain of the relation L is the set of all real numbers. For x, y e R, rLy if r < y.

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Q: Please help me with these questions. I am having trouble understanding what to do Thank you

A: Step 1 1) Definition of R1​ and R3​: R1​ = { (a, b) ∈ R2 ∣ a &gt; b }   (greater than relation)R3 =…

Q: For the relation, indicate whether the relation is: • Reflexive, anti-reflexive, or neither •…

A: A relation R defined on a set S is said to be Reflexive if xRx for all x in S.  Anti reflexive  if…

Q: Find the set of ordered pairs, domain and range of relation, R. Then draw a mapping diagram to…

A: R=(x-2,2x+3: x∈0,1,2,3,4,5

Q: 2. Write the domain and range of each relation using proper notation. a) b) yA 8- \y = 0.5(x + 3)2-1…

A: Domain: Domain of a function is the set of all possible input values. Range: Range of a function is…

Q: Give an example of a relation which is (i) reflexive and transitive but not symmetric; (ii)…

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Q: MULTIPLE SELECT: Select THREE tables that represent a relation with a domain of {-2, 3, 7}. y 6 -2 O…

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Q: Let R be the relation on the set S = {1,2,3, a, b, c} given by xRy if and only if (а, у) € {(а, а),…

A: Given R be the relation on the set S=1,2,3,a,b,c given by…

Q: What is the domain of the graphed relation?

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Q: The inverse relation of the relation r (in red) is the relation r -3 in black in blue in red in…

A: In the given figure, we have to the inverse relation for the red figure

Q: Let A = {3, 4, 5}, and B = {−5, -3, -2, -1}. Define a relation R from A to B as follows: For all (x,…

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