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 (b/a)+1 is a prime. (a) Is Ra function from A to B? (b) If R is a function from A to B, then determine whether this function is one-to-one and/or onto.

Q: Let A = { 2, 3, 4 } and B = { 6, 8, 10, 12 } and define a relation R from A to B as follows: %3D For…

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Q: Let S={1,2,3} and T={-2,-1,0}. Define a relation R from S to T as follows: For all (x,y) in SxT,…

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Q: disprove: a relation that is symmetric and transitive must TProve also be reflexive. or

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Q: The relation R is defined in A = {1, 2, 3} by a Rb if |a² - 6² ≤ 5. Which of the following is 2…

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Q: Let A = {1,2,3,4} and B = {5, 6, 7). Let f be the relation f = {(1,5), (2,5), (3, 6), (?, ?)} where…

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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: Let A — {1, 2, 3, 4} and B — {5, 6, 7}, and let f be the relation f = {(1, 5), (2, 5), (3, 6), y)}.…

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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: Define a relation R on the set N of natural numbers by R = {(x, y) : y = x + 5, x is a natural…

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Q: 1. Let A = {blue, yellow, red}, B = of the relations below (a) determine if it is a function (b) if…

A: R1: D X B={(cat,blue),(cat,red)} So, {(cat,blue)} ⊂{(cat,blue),(cat,red)} Therefore R1 is a…

Q: Prove that every function is relation but converse is not true, given the answer to supports your…

A: A function is a relation that has one and only one unique element on the range for each element in…

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

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Q: Given the relations F = {(q, p)|5p − 4q2 − 3 = 0 p, q ∈ ℝ} and                                G =…

A: Given relations are  F=q,p:5p-4q2-3=0 , p,q∈ℝ        (i)F=p,q:5p-4q2-3=0 , p,q∈ℝ        (ii) Let,…

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: Let ℝ+ denote the set of positive real numbers. Define a relation E on ℝ+ as follows: a E b  if and…

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Q: Question 10 Indicate whether the relation is: • reflexive, anti-reflexive, or neither symmetric,…

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Q: A relation R is defined on the A={1,2,3...9.10}  as follows: xRy means "3x- 2y=1"   List the…

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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: 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: Let A = {2, 3, 4, 8, 9, 12}, and let the relation R on A be defined by aRb if and only if (a | b ^…

A: A set of ordered pairs is referred to as a relation in the area of mathematics and computer science.…

Q: Let G be a relation from C={-1, 0, 1, 2} to C {-2,-1, 0, 1, 2} with G={(-1,0), (0,1),(1,2), (2,-1)}.…

A: Given query is to find G is a function or not.

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: 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: 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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