IF A = { 1,1,2,3,5} B = {2,4} A relation S from A to B such that (x, y) ∈ S means that x ≤ 3 and y > 2 and determine if S is a function or not. Defend your answer by stating a definition.

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: 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: Recognize whether each relation is a function, and state its domain and range. a) b) 8- 24 -2 0 -N 2…

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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: Let A ={1,2,3,4}, B = {1,5,9,11,15,16} and f = {(1,5), (2,9), (3,1), (4,5), (2,11)}Are the following…

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Q: Define the relation R = {(a.b): a + b < ab} = A x B with A = {1,2,4} and B = {2,5,6). List all the…

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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: Is the relation shown in the table below a function? (type in yes or no)…

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Q: Given the relations F = {(q, p)|5p2 − 4q − 2 = 0 p, q ∈ ℝ} and                                    G…

A: For function of two variables y=f(x), the set of all values of x for which y is defined is called…

Q: Let A = {1,2,3,4} and B = {4,5,6,7,8} and R be the definite relation of A to B determined by the…

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Q: Let A = {1, 2, 3} and B = {0, 1, 2} and let R be a relation from A to B if, and only if, x is less…

A: Given, A=1, 2, 3B=0, 1, 2

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: Let Y be a relation defined by a Y b iff a times b is even. Is 5 Y 7 true?

A: Here, the given problem is on relation on set. We will solved the problem  step by step.

Q: 4. True or False: The relation {(5, 2), (0,1), (5, –6), (-3, 12)} is a function. O true false

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Q: 7. Identify the domain of the set (5, 3), (0,-4), (2, 5), (11, 3) and tell if the relation is a…

A: We have to identified the domain of the set  (5,3),(0,-4),(2,5),(11,3)

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

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Q: One of the following relations is a function from A to B : .a F={ (1,2),…

A: To choose: The option which denotes a function from A to B: - (a.) F=1,2,2,4,2,6, A=1,2,3, B=2,4,6…

Q: Every function is a relation of its domain and codomain. O True. O False.

A: A relation defined between two sets X and Y contains ordered pair a,b such that  a∈X ,  b∈Y. It…

Q: Let A be the set of students in your discrete math class, and B is the set of students at Arizona…

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Q: 7. Decide whether the relation defines a function. a. {(-3, -2), (3, 6), (4, 6), (7, -7), (10, -1)}…

A: Given that, a) -3,-2,3,6,4,6,7,-7,10,-1 b) y=x3 c) x=y2+1 We have to find that the relations are…

Q: 4. Make a table of values for each relation. Use the table to determine if the relation is…

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Q: Let A = {1, 3, 5, 7,9}, B = {2, 4, 6, 8}; a R b if and only if b< a a) Find Domain of the relation R…

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Q: A relation consists of all the points in the x-y plane that are either on the line y=1 or the line…

A: Here, the objective is to determine if equation represent a function.

Q: How does number 1 differ than a relation? Please explain how, thank you. My teacher wants me to…

A: Relation: Let A and B be two non-empty sets. A relation R from A into B is a subset of A*B.…

Q: Let A = {1, 2} and B = {3, 4}. Find the number of relations from A to B.

A: Number of elements in A=2 ...................................In B=2

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: True or False A function is a relation between two sets Dand R so that each element x in the first…

A: By definition: A function is a relation from a set of inputs to a set of possible outputs where each…

Q: Let A = {19, 20, 22, 23} and B= {20, 22, 24}, and let the relation R from A to B be defined by…

A: Option (b) is correct.

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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