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, (x,y) is in R means that (x-y)/3 is an integer.   Which of the following statements is TRUE for the relation R?: a. The relation R is a function b. The relation R is not a function

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: 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,…

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Q: In a high school graduation class, (x,y) is in the relation r if person x is the same height as…

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Q: Let R = {(x, y) ∣ x ≥ y} be a relation from set A = {6} to B = {5,7}. a. List the order pairs of…

A: Given,          R=x,y/x≥y          Set A=6          Set B=5,7

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}, 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: Which of the following relations is transitive? Define a relation R in the natural number. Select…

A: We have to find

Q: 4. Let R be the relation {(1, 2), (1, 3), (2, 3), (2, 4), (3, 1)), and let S be the relation {(2,…

A: To find the composition of two relations R and S . the domain of S°R will be same as domain of R…

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

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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: JUI llas altended FSU for 2 years. ** Let C =0, 1, 2} and D = {2,4. 6. 8} and define a relation R…

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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: Let A = {a, b, c} Define a relation as follows: ARA = {(a, b), (a, c), (b, c)} To obtain the…

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Q: 1. Let X = {1,2,3} and let R = {(1, 3)(1,2),(2, 3)}. Find the domain and range ofR. 2. Let R be a…

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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: The domain of the relation L is the set of all real numbers. For x, y e R, rLy if r < y.

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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: For the relation, indicate whether the relation is: • Reflexive, anti-reflexive, or neither •…

A: A relation R defined on a set S is said to be Reflexive if xRx for all x in S.  Anti reflexive  if…

Q: Determine if the relation R = {(1,3), (1,4), (2,3), (2,4), (3,4)} is reflexive, symmetric,…

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Q: consider the relation R={(1,a),(1,b), (3,b),(3,d), (4,b)} form X={1,2,3,4} and Y={a,b,c,d}. Thus…

A: Consider the relation

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: 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: 4. Let G = {–2, 0, 2} and H = {4,6, 8} and define a relation V from G to H as follows: For all (x,…

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Q: Let A = B = C = the set of real numbers. Let R be a relation from A to B and s be a relation from B…

A: For (h), We are given that A = B = C = the set of real numbers. Let R be the relation from A to B…

Q: Q3. Let R be the relation R (1, 2),(1, 3),(2, 3),(2, 4),(3, 1)} and S be the relation S= {(2, 1),…

A: Hence, if R be the relation   R={(1, 2),(1, 3),(2, 3),(2, 4),(3, 1)} and S be the relation S={(2,…

Q: Let A = {1,2,3, 6}. Define a relation R on A as follows: %3D xRy if y – x > 0 Write out the relation…

A: We have to find the relation R.