2. Let C = D = {-3, –2, –1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y) E C x D, 1 (x, y) E S means that 1 is an integer. - x y a. Is 2 S 2? Is –1S – 1? Is (2, 2) e S? Is (2, –2) e S? b. Write S as a set of ordered pairs.

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: R = {(1,1), (1,2), (1,3), (2,3), (7,1), (7,2), (7,3), (4,5), (4,6), (5,6), (5,5)}

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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: 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: 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: -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: {h,p,t, v, w}, and 7, 10, 12, 15, 16, 21, 24, 29, 30}. 21), (р, 29), (t, 24), (v, 24), (w, 10)} de n…

A: We have to complete the given statement according to the given information

Q: Let A = {1, 2, 3, 4, 5} and R be the relation defined by a R b if and only if a < b. (a) Compute R²…

A: use the concept of composition          R2=RoR          R3=R2oR

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: 7. Compute gfg, the conjugate pair of f by g for f= (2, 3, 5, 4) and g = (1, 3, 2)(4, 5).

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Q: Define a relation R on Z as follows: For all integers m and n, 51(m² - n²). mRn (a) Is 1 R (-4)? Yes…

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Q: 1. State the domain of this relation. * 2 -2 {x ɛR} O {x ɛ R, x + 1} O {y ɛ R} O {y ɛ R, x + 1}

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Q: Let A = {1, 2} and let B = {2, 4, 7}. Let R be a relation defined as follows: (x, y) = R means that…

A: Solution:

Q: Let C = D = {-3, -2, -1, 1, 2, 3) and define a relation S from G to D as follows: For all (x, y) E C…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Consider the relation R = {(1,1);(2,3);(3,5);(4,7)}. a. Prove that R is a function from {1,2,3,4}…

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