Q2 Suppose we are told that f: S→T, where f is a function and S and I are sets. Which of the following is not true about f? Of is a relation. The set of ordered pairs which represent f is a subset of S x T Every input to f is an element of S, and every output of f is an element of T. OT is the set of all outputs of f.

Q: Given the 5 relations below, select all that are not function. Remark: If A is a set, then A is…

A: Given data:- R= x,y : x ∈ ℤ ∧ y ∈ ℤ ∧ y2 = x .R= x,y : x ∈ Pℤ ∧ y ∈ ℤ ∧ y ∈ x .R= x,y : x ∈ Pℤ ∧ y ∈…

Q: zbss. not use ai please

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Q: Let the relation M defined as M={(x,y)|y = /x²-49 a. Write the domain and range of M. b. Is M a…

A: We have to answer all the questions.

Q: Let R be a relation defined as follows: x Ry means that x + y is odd, where x, y are integers.…

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Q: Let A = {4, 5, 6} and B = {6, 7, 8), and let S be the "divides" relation from A to B. That is, for…

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Q: Determine the following for the given relation R on the set { 1, 2, 3, 4, 5, 6 } defined by the rule…

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Q: Let  X = {a, b, c}  and  Y = {d, e, f, g}.   Define functions H and K by the arrow diagrams below.…

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Q: Let A = {1, 2, 3} and B = = {4, 5, 6}. a. Give an example of a relation R from A to B such that 1 is…

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Q: A relation Ron a set A is. if whenever (a, b) ER then (b, a) ER for all a, b EA.

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Q: Q1 If set A = {a,b,c,d}, and B = {1, 2, 3} then what is the value of A x B ? Enter your answer here

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Q: Consider the following relation on set B = {a, b, {a}, {b}, {a, b}}: P = {(a, b), (b, {a, b}), ({a,…

A: Given that, The set B is: B=a, b, a, b, a, b And, the set P is: P=a, b, b, a, b, a, b, a, b, a, a, a

Q: 7. (6 points) Let T be a relation defined on the set A = {1,2,3} such that T = {(1,1), (1,2), (2,2),…

A: The objective of the question is to determine whether the given relation T is reflexive, transitive,…

Q: Here is a diagram for a relation R on a set A. Write the sets A and R. 0 3 4 5

A: We have been given a diagram for a relation R on a set A. To Do: We have to write the sets A and R.

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

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Q: Find a set A and a relation R such that the relation is symmetric, and not reflexive and transitive.

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Q: 2. Let R be the relation on the set A = (1, 2, 3, 4, 5, 6, 7} defined by the rule (a,b) e R if the…

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Q: 5. Which of the following relations is NOT a function? Input 5 10 A Output 2 73 45 345678 9 Input 10…

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Q: A = {1, 3} and B = {2, 4, 6}. Define a relation R from A to B as follows: for all (x, y) ∈ A × B…

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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: let R be the relation on the set of positive integers in which a R b if and only if a is a factor of…

A: Given below the detailed Solution.

Q: -1, -3, -5, –7}. Determine whether each relation on X is a fur (-3, –5), (–1, –7), (–3, –1), (–5,…

A: Introduction: A function is an expression, rule, or law in mathematics that defines a relationship…

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: Let A = {d, e, f} and B = {0, 1} Define a relation as follows: ARB = {(d, 1), (f,0)} Select the…

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Q: 1. What do you call a relation where each element in the domain is related to only one value in the…

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Q: Let A = { 2, 3, 4, 5, 6, 7, 8, 9, 10} Let R be a relation on A defined by R = {(a, b) : a e A, be A,…

A: We have to find the domain

Q: Let A = {2, 3, 4, 5} and B = {6, 8, 10}. A relation R is defined from A to B by a R b if a | b and…

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Q: Let R be a relation on Z given by aRb if and only if a = b². Is this relation a function? Justify…

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Q: The following relation is a function. {(2, 3), (1, 1), (-2, 1), (3, 2)} True O False

A: A relation is a function if each element in the domain maps to exactly one element in the range. In…

Q: QUESTION 6. L Consider the following relation R on the set A = {1,2,3,4,5} R = {(1, 1), (2, 2),…

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Q: Question 2 How many relations are there on the set A in Question 1? Give the reasoning for your…

A: As we know from the definition of relation on a set that every relation on a set is an element of…

Q: C = {4x + 1] x € Z+}, D = {c + d]c € C, d € C}, E = C × D Is C a subset of D or E? Explain a…

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Q: (x1 – 1)² + 2(x2 – 2)² and Consider the problem: min f (x) s. t.h(x) 2 0 where f (x) h(x) = [1 – x,²…

A: Given, the problem:                               min f(x) s.t. h(x)≥0where  f(x)=(x1-1)2+2(x2-2)2…

Q: (3) Let A={1,3,5,7}, B={0,4,8}. Define the relation R as: For all x E A and y E B, xRy , if and only…

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Q: Let A be the set {1,2,3,4,5,6}. Let R be the relation on A defined as follows: (a, b) is in R if and…

A: According to the guidelines,we can solve only first three subparts.

Q: Which one of the following statements is a true statement? O If f:A » B and g:B → C are functions…

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