1. Let A = {4,5,6} and B = {5,6,7} and define relations R from A to B as follows: V (x, y) E A X B, (x, y) ER means that x 2 y State explicitly which ordered pairs in A xB are in R. Indicate whether any of the relations R are functions. Draw the arrow diagram.

Q: Find IR| where R is the relation on the set A = {1,2,-,100} given by R= {(a,b)| azb+30} Select one:…

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Q: A). C). X y y 7 - 2 - 2 - 1 - 1 - 4 4 - 5 1 1 -4 1 - 2 - 5 1 y 1 y B). D). - 2 - 2 - 1 6. 8. - 1 0.…

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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: List the ordered pairs in the relation R from A = 0, 1, 2,3,4, B = 1,2,3, 4, 5, where R is defined…

A: Relation : A relation from a set A to a set B is a subset of A×B. i.e. a relation R consists of…

Q: a. Find all relations from {a. b. c} to {u, v} b. Find all functions from {a. b. c} to {u, v} c.…

A: Let us take A= {a,b,c} and B={u,v}

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: 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: Let A={2,4,6 } and B={1,3,5,}. which of the relations, R,S,and T defined below are functions from A…

A: We know that relation is said to be a function if every element in the domain have exactly one value…

Q: For which values of k is the set of order pairs (2,4),(k,6),(4,0) a function?

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Q: Which ordered pair is in the inverse of the relation given by x2y + 5y = 9      A (2,1) B (-2,1) C…

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Q: 11. Let A = {1,2,3,4} and B = {A, B, C, D, E}. Consider the following relations and state whether…

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Q: Let X = {x € Z+ | 15 < 4x < 22} and Y = {y is even | 0 < 2y + 1 < 15}. Define a relation R from X to…

A: A relation defines the relationship between sets of values of ordered Paris. The set of elements in…

Q: Verify the relations (5).

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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: Define a relation R on the set of all integers Z as follows: for all integers m and n, m R n → m = n…

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Q: Let A = {4, 5, 10, 21, 24). List the ordered pairs in the relation R = {(a, b) E AXA: alb). (Recall…

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Q: Which of the following is the inverse relation to the set of ordered pairs {(–7, 15), (0, –16), (5,…

A: Given  set of order pairs                                        P=(-7, 15), (0, -16), (5, 9), (17,…

Q: 2. State the domain and range of each relation. a) {(0, 5), (1, 6), (2, 7), (3, 8)} b) {(1, 4), (2,…

A: According to our guidelines we can answer only three sub-parts and rest can be reposted.

Q: List the ordered pairs in the relation R from A={0,1,2,3,4} to B={0,1,2,3} where (x,y) R if only if…

A: 1. As 0≤0, 0≤1, 0≤2, 0≤3, 1≤1, 1≤2, 1≤3, 2≤2, 2≤3, 3≤3 So the ordered pairs relation is R = {(0, 0),…

Q: Which ordered pair is NOT in the inverse of the relation given by xy² O (0,-4) O (4,1) O (3,2) O…

A: See this solution in below.

Q: A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference…

A: The difference between x and y is odd That is possible for  1-4=-3 1-6=-5 2-9=-7 3-4=-1 3-6=-3 5-4=1…

Q: Let R be the relation with ordered pairs (Abdul, 22), (Brenda, 24), (Carla, 21), (Desire, 22),…

A: Here, (Abdul, 22), (Brenda, 24), (Carla, 21), (Desire, 22), (Eddie, 24), and (Felicia, 22).

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

A: Let us denote Boise=B, Miami=M, Springfield=S, Bermimgham=Br and variable for them be x. Their…

Q: Let A= B = Z. Let R be the relation from A to B defined by a Rb if and only if a² – b² = 9.…

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Q: Let A = {1,2,3,4} and B = {A,B, C, D, E}. Consider the following relations and state whether…

A: A relation will be function if for each x∈A  there exists a unique b∈B with (a, b) ∈ f. In other…

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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