Let A 2, 4, 6 and B {1, 3,5}. Which of the relations R, S, and T defined below are functions from A to B? a. R {(2, 5), (4, 1), (4, 3), (6, 5) b. For all (x, y) E A x B, (x, y) E Smeans that y x + 1 c. T is defined by the arrow diagram A 2. 4 3 6 5

Q: Let A = {4,5,6}and B = {1,3,5} and define relations R, S, and T from A to B as follows: %3D For all…

A: Relation : A Relation is a collection of ordered pairs. In othere word , If A and B are two sets the…

Q: Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х,…

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Q: Let A={3,4,6,7}, and define a relation R on A as follows: For every x, y belong to A, xR y x|y.…

A: We first write elements of R then we form diagraph and then we write the corresponding adjacency…

Q: 1. Let A = {a, b, c}, B = {1,2,3}, C = {x, y, z, w}, D = {4,5, 6}. Let the functions f : A → B, g :…

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Q: 5. Let A = {4,5,6} and B = {1,3,5} and define relations R, S, and T from A to B as follows: For all…

A: Arrow diagram of R is as follow The arrow diagram of S is as follow: The arrow diagram of T is as…

Q: Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S and T from A to B as follows: For any…

A: Graph is

Q: Find f f and f and evaluate each at the given point. f(x, y, 2) xy + 2xyz-Syz, (-3, 1, 3) ,(x, Y, z)…

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Q: 6. If X and Y are finite sets, prove that |X'| = XY, Here, XY is the set of all functions from Y to…

A: The fundamental principle of counting is the base theorem for counting. When work can be completed…

Q: Let A = {6, 9} , R relation on A defined R by. %3D R = {(a, b): a +2 = b -1 ,a, b E A}. Write R. %3D

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Q: Let A = {1,2,3}, X = {1,3}, and R is a relation on A, such that R= {(x,y) | x<y^x, y = A} R"X =…

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

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Q: Let x = {a,b,c} and y= {1,2,3,4}. Which of the relations a, b and c defined below are functions from…

A: x={a,b, c}and,y={1, 2, 3, 4}

Q: Consider the function d: R² × R² → R defined by min{|y2 - x₂, 1} if x₁ = y₁ otherwise, d(x, y) :=…

A: A metric on a set X is defined as a function d: X×X→R which satisfies the following conditions:…

Q: Suppose that f : A → B is a function, viewed as a relation (set of ordered pairs). Let f* denote the…

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Q: 2. Identify which is a relation and a function. a. U = {(-1,1), (0, 1), (1,1), (2, 1), (3, 1)} b. W…

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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: on  B on the set A = {1, 2, 3, 4}: It is defined as,                          xBy ⟺  x|y

A: The relation β on set A={1,2,3,4} is defined as  xβy↔x/y this means that β has elements such that…

Q: Let G = {-2,0, 2} and H = {4,6,8} and define a relation V from G to H as follows: %3D For all (x, y)…

A: Solve the following

Q: Find f f, and f,, and evaluate each at the given point. ху f(x, y, z) = (2, 1, –1) %3D x + y + z…

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Q: Let X= {p, q, r, s, t}, Y= {1, 2, 3}. how many one-to-one function are there from Y to X.

A: One-One function- A function is said to be one-one if every distinct element from the domain has a…

Q: Let X = {0, r, t, w}, Y = {e,g, i, k, m}, and Z = {2,3,4,5, 7,9}. Let f : X → Y where f = {(0, g),…

A: Given X = {o, r, t, w} Y = {e, g, i, k, m} Z = {2, 3, 4, 5, 7, 9}

Q: Let V={1,2,3,4} and W={a,b,c}. Function f:V → W is defined as follows: (c) f(1) = c,f(2) = a, f(3) =…

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Q: Let {2,3,4} {2,3,4} and {8,9,10} {8,9,10}. Define a relation H from A to B such that (x,y)∈H(x,y)∈H…

A: Given A={2,3,4} B={8,9,10}

Q: Let A = {2,4} and B = {1,3, 5}. Which one of the following relations, T, U,V, or W, from A to B is a…

A: Given below the detailed solution

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

A: Given,            G=-2, 0, 2  and   H=4, 6, 8and  define a relation v from G to H as follows.For…

Q: 8. Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all…

A: In the given question we have to draw the arrow diagram of the relation U,V and W and we have to…

Q: Find f, and f, and evaluate each at the given point. ху f(x, y) = X- y (2, -2) f,(x, y) = f,(x, y) =…

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Q: 4. Let Let A={2,4} and B={1,3,5} and define relations U,V, and W from A to B as follows. For all (x,…

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Q: Let T = {0, 1, 2, 3} and the relation R is defined on T as follows: R = {(0, 1). (1, 2), (2, 2)}:

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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: (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: 5. Let U and V be the relations in R defined by U={(x,y):x² +2y=5} and ={(x,y):2x-y=3}. a) Find VoU.…

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Q: 5. Let A={4, 5,6} and B= {5,6,7} and define relations R,S, and T from A to B as follows: %3D For all…

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

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Q: Given x = {5,10,15,20,25,30} and y function from X to Y. Let f(5) = 400, f(10) = 100, f(15) = 500, f…

A: x=5, 10, 15, 20, 25, 30  &amp;  y=100, 200, 300, 400, 500, 600. f5=400,  f10=100,  f15=500,…

Q: 10 Let A={4,5,6,7,8,9,10,11,12,13} and define a relation S on A as follows xS y → 4|(x-y) (a) Is…

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Q: 8. Let A (2, 4) and B (1,3, 5) and define relations U, V, and W from A to B as follows: For all (x,…

A: Given that: A={2,4}B={1,3,5}

Q: Let set 4= {2,3,4,5,6,7} with relation R: A→ A defined as follows. For every x, y € A, xRy means…

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Q: Let E =(1, 2, 3} and F = {-2, -1, 0} and define a relation T from E to F as follows: For all (x, y)…

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Q: Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S, and T from A to B as follows: %3D For…

A: Relation R is defined as:

Q: Determine which of these relations are transitive. The variables x, y, x', y' represent integers.…

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Q: Let A = {4, 5, 6} and B = {5, 6, 7} and define relations R, S, and T from A to B as follows: For all…

A: To describe the relations R, S and T and find out if they are functions

Q: Let Y = {0,1,2} and Z = {0,1} and define a relation R from Z to Y as follows: Given {x, y} € Z × Y,…

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Q: Which of the following relation is a function? a) Z={(1,4), (2,3), (3,2). (2,4), (1,4), (1,5 )} b)…

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Q: Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follo %3D For every…

A: A function from a set X to a set Y is an assignment of an element of Y to each element of X. The set…

Q: Let X = {a,b,c} and Y = {1,2,3,4}. Which of the relations A,B,C defined below are functions from X…

A: The given problem is related with function. Given that ,               X = a , b , c and Y = 1 , 2 ,…

Q: 6) Let A = {4,5,6} and B {3,6,7}. Define relations U, V, and W from A to B as follows, For all (x,…

A:

Q: Let A = {2, 4} and B = {1, 3, 5} and define relations U, V, and W from A to B as follows: For all…

A: It is given that (x, y) is in U if and only if y-x≥1. Now, for every x in A, we find the values of y…