List the ordered pairs in the relation R from A = 0, 1, 2,3,4, B = 1,2,3, 4, 5, where R is defined as (a, b) e R if and only if a +b > 7 where a e A, b e B Then R is O {(4, 5), (4, 4), (3, 5)} O {(4, 5), (4, 4), (3, 5), (5, 5), (5, 3)} O {(4, 5), (4, 4), (3, 5), (5, 4), (3, 3)} O {(4, 5), (4, 4), (3, 5), (5, 4), (5, 3)}

Q: Show that the relation R on a set A is symmetric if and only if R = R-, where R is the inverse…

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Q: 2,3,4,5

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Q: Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9} and let R be the relation {(a,b) ! a , b} Find the smallest…

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Q: Let A = { 3, 9}, R relation on A defined R by. R = {(a, b): a +b = 12 ,a, b E A }. Write R. O a. {…

A: Given that A={3,9} R is a relation on A defined by R={(a,b):a+b=12,a,b belongs to A}

Q: Let A={5,6,7,8,9,10} and define a relation S on A as follows xSy 2|(x-y) (a) Is 5S6? Why?

A: Consider the provided question,

Q: 1. 2. b 1 1 0 1 3 0 1 1 0 0 0 1 1

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Q: {2, 4, 6, 8} and define a relation R from A to Bas follows: for all (x,y) E AX B, (x, y) ER T. set…

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Q: Identify the relation on set (1,2,3,4} if it is reflexive, symmetric, antisymmetric or transitive.…

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Q: Consider the relation R = {(1, 2),(2, 1),(2, 3),(3, 4),(4, 1)} on {1, 2, 3, 4}.Is R reflexive?…

A: In this question we have to explain Is the given relation is reflexive.

Q: 2) Define a relation R from {a, b, c} to {u, v} as follows: R = {(a, v),(b, u),(b, v),(c, u)}. a)…

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Q: Let A = {3,4,5,6} and B = {1,2,3} and define a relation R: A → B as follows: For all (x, y) ∈ A × B,…

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Q: Let the relation S defined as S = {(x,y) | y = X2 + 4x +3}. What is the domain of S?

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

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Q: If A = {2, 3, 4, 5}, B = {1, 2, 3} then the relation R = { (a, b)|asb} is given by: {(2, 3), (2, 2),…

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Q: Let R=}(x,y)|2 divides 8x+by} be a relation the Set H= {1, 2,3.4,5, 6. 10 Determine whether the…

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Q: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: %3D For all (x, y) E A × A, (x,…

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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: Let A = {3, 5, 7, 8} and define a relation S from A to A as follows: For all (x,y)∈A×A,(x,y) ∈ S if…

A: Solution : Given :             A = {3, 5, 7, 8} ,                         S is a relation from A to…

Q: Let A = {0,1,2} and B = {-2,-1,0}. Define a relation C from A to B as follows: For any (x,y) A x B,…

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Q: List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a,b) e…

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Q: 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: We know, if f: A→B and g: B→C be two relations then their composition gof: A→C is deined as gofx=gfx…

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…

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Q: Let A = {2, 3, 4} and B= {6, 8, 10} and define a relation R from A to B as follows: For all (x, y) ϵ…

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Q: 9. Let X = {r1,12, 23, T4}, Y = {yı,y2, Y3}, and Z = {zı, z2}, Let R be the relation from X to Z…

A: Given: 9) X=x1, x2, x3, x4, Y=y1, y2, y3 and Z=z1, z2, z3. R=x1, z1, x2, z2, x3, z1, x3, z2 and…

Q: Find the smallest relation containing the relation {(1, 2), (2, 3), (2, 4), (3, 1)} on the set {1,…

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Q: Let R be the relation on the set S = {1,2, 3, a, b, c} given by xRy if and only if (x, y) E {(a, a),…

A: S=1,2,3,a,b,c To find: (a) , (b) , (c).

Q: Consider the relation R = {(a, a), (c, a), (b, c), (d, b)} then which of the following set…

A: We need to find R3 given R=a,a,c,a,b,c,d,b Now,  R2=RοRR3=RοR2=R2οR The composition of two…

Q: List the ordered pairs in the relation R from A=0,1,2,3, 4 B =1,2,3, 4, 5, where Ris defined as (a,…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: - List the ordered pairs in the relation R from A = (0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a,b)…

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Q: List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B {0, 1, 2, 3}, where (a,b) e R…

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Q: Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5.-2).…

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Q: Define the relation r on S = {A, B, C, D} by r ={ (A,B), A,D), (B,A), (B,C), (C,A), (C,B), (D,B)}.…

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Q: Define a relation S from R to R as follows:…

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Q: List the ordered pairs in the relation R from A=0,1,2,3,4, B= 1,2,3, 4, 5, where Ris defined as (a,…

A: Given sets are: A={0,1,2,3,4} B={1,2,3,4,5} Relation R consist of those ordered pairs (a,b) such…

Q: Determine if the relation defines y as a ône-to

A: The given graph is: To determine if it is one-to-one.

Q: Which of the relation defines a function from X=(2,4,5) to Y=(1,2,4,6). R1 = {(2,4), (4,1)) R2 =…

A: We have to determine which of the following defines a function from X=2, 4, 5 to Y=1, 2, 4, 6. R1=2,…

Q: Let A = { 1, 2, 3, 4 } and B = { 4, 6, 8, 10 }.Define a relation H from A x B as: For all (x, y) ∈ A…

A: Please see the below picture for detailed solution.

Q: List the ordered pairs in the relation R from A = {0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a,b) e…

A: Given A={0,1,2,3,4} and B={0,1,2,3}

Q: . Draw the Hasse diagram of the relation R on A, where A = (1, 2, 3, 4}, and R = {(1, 1), (1, 2),…

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Q: Let A = {6, 8, 10, 15, 17} and B = {2, 3, 4, 5} and define a relation R: A → B as follows: For all…

A: Given   A = {6, 8, 10, 15, 17};  B = {2, 3, 4, 5}; relation R: A → B  ordered pairs of A and B that…

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

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Q: One of the followin relations is not symmetric,where A={1,2,3,4}: .a…

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Q: the 品|名 Let A = {0, 1, 3, 4, 5, 6} and define the relation R and S on A b) as follows: For every (x,…

A: using the concept of relation ...

Q: Determine the domain and range of the relation R defined byR = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4,…

A: We make a table for the relation x x+5 0 5 1 6 2 7 3 8 4 9 5 10

Q: 3. Use the cross product properties to prove the relation (a - b) × (â+b) = 2(â × b) given a = (1,…

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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: Let A= (2,3,4) and B= (2,6,8) and let R be the "divides" relation from A to B:  For all (x, y) £ A…

A: Now, A=2,3,4 and B=2,6,8 The set A×B is: A×B=2,2,2,6,2,8,3,2,3,6,3,8,4,2,4,6,4,8 We have the…

Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

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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 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…