Determine whether the following relation is an equivalence relation or not. (a) G = {(x, y) |æ divides y} %3| (b) G = {(x, y) |x = y or x

Q: equations for the cost of a pizza at restaurants are shown below, where C presents the cost in…

A: Given that: The equation for the cost of a pizza at a restaurant are shown below, where “C”…

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Q: Let Y be a relation defined by a Y b iff a times b is even. Is 5 Y 7 true?

A: Here, the given problem is on relation on set. We will solved the problem  step by step.

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Q: Which of the following relation is a function? a) S = {(1,–2),(–3,6), (-3,2), (-1,6) b) T = {(-2,3),…

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Q: Define a relation R on the set of all integers Z as follows: for all integers m and n, m R n → m = n…

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Q: 4. Which is the inverse of the relation {(-2,5), (-1,3), (0,-1), (1,-3), (2,-5), (3,-7)}? O {(5,-2),…

A: To find inverse of the given relation.

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A: Given query is to find the composite function g of f

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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Q: 1a) Let A = {1, 6, 12}, B = {0, 2, 12}. The following are all relations from A to B, but which are…

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Q: Suppose that the relation R is reflexive. Show that R* is reflexive.

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Q: Choose the relations that are a functions A) B) D) 21- {(0, 18), (1, 14), (2, 10), (2, 6), (3, 9)}…

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Q: Write the relation R = {(x, x3) : x is a prime number less than 10} in roster form.

A: Prime numbers less than 10 are 2,3,5,7

Q: Decide whether the following relations is an equivalence relation or not. {(x, y) | xy > 0, x and y…

A: The given relation is: R=x,y| xy&gt;0, x,y are integers We know that a relation R on a set X is an…

Q: cercise 2. Give an example of a relation R on A = {1,2,3} that is neither reflexive or irreflexive.

A: Given A = {1, 2, 3}

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: Let A={5,10,15,20, 25} and a partition of A be: {5,25},{10, 20} , {15} (a) Write all pairs of the…

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Q: Let A = {1,2,3,4} and B = {A,B, C, D, E}. Consider the following relations and state whether…

A: A relation will be function if for each x∈A  there exists a unique b∈B with (a, b) ∈ f. In other…

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

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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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