Give a binary relation R on an n-element set such that R != ∅ and |R ◦ R^(−1) | = n^(2) · |R^(−1) ◦ R

Q: +12x+19 in the interval [-1,6] of the above no zeroes in the interval [+1,6] 5 zeroes in the…

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Q: A test program for grade 10 can generate quadratic functions in a standard form y = ax + bx + c…

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Q: Let N be the set of all natural numbers and let R be a relation in N, defined by R = {(a, b): a is a…

A: Given  Set  = set of all natural numbers N Relation = R = { (a,b) : a is multiple of b }   A…

Q: 9.G. Prove the Cantor Intersection Theorem by selecting a point xn from Fn and then applying the…

A: As per BARTLEBY GUIDELINES, I answered only one question (Q- 9.G) and                     repost…

Q: Consider the partial order with domain{3,5,6,7,10,14,20,30,60}and with x ≤ y if x evenly divides y.…

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Q: How many equivalence relations on the set {1, 2, 3}?

A: Given A=1,2,3 we know that a relation is said to be equivalence relation if it is reflexive,…

Q: How many one-to-one functions are there from a set with m elements to a set with n elements, where…

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Q: How many functions map {1, 2, 3, 4, 5, 6, 7, 8} onto {1, 2, 3, 4, 5} (i.e., how many surjections are…

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Q: Determine if 0 >=(61-6-J-RA) is in the span of = 0

A: Given: -1225 To check:If -1225 is in the span of Φ=1100, 1001, 0110, 0011 or not.

Q: NXN set on " (a,b)~ (c,d) -) a+d -b+c %3D define d as, equiualence relation? Shaw Is reation ""

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Q: on the set of real numbers x^2 + y^2 =1 what binary relation is that? Please provide detail…

A: The objective is to check the binary relation for the relation x^2 + y^2 =1 in set of real numbers.…

Q: Let f(r) t3 +1 dt for r 3. J3

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Q: Which relation on the set {a, b, c, d} are equivalence relations and contain(i) (b, c) and (c, d)

A: The set {a, b, c, d}.

Q: Give a specific reason why the following set R does not define an equivalence relation on the set…

A: We will find out the required value.

Q: How can I prove that the relationship r^2 is a subset of r using the definition of composition?

A: The objective of this question is to prove that if r is a transitive relation on a set A, then r^2…

Q: A relation ~ is defined on the set of all pairs of integers by the formula (m,n) ~ (u,v) m - An =…

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Q: Calculate the maximum number of binary relations that can be defined on set A = {-1, 0, 1}.

A: We have to find the number of binary relations.

Q: A = {5,6} B = {5, 7 ,8} S = {n | n >= 3 is an odd integer} A relation R from AxB to S is defined…

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Q: 9. The relation ~ defined on the set of natural numbers by a ~ b means 'a – b is even is : A. an…

A: Equivalence relation : A relation which is reflexive, symmetric and transitive is an equivalence…

Q: 1. (a) (b) (c) Prove or disprove that, for any universal set U and predicates P and Q, [x EU, P(x)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: What are the equivalence classes of the equivalence relations on {0, 1, 2, 3}?

A: Answer:-  Find the equivalence classes of the equivalence relations on A = {0, 1, 2, 3}?

Q: 5) Let R be a binary relation over the positive integers defined as follows: R = {(a, b) | 2b < a <…

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Q: There are 16 binary relations on the set {0, 1}: (a) { } (d) {(1,0)} (g) {(0, 0), (1, 0)} (1) {(0,…

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Q: Which of the following is an equevalence relation on the set (a, b, c} 7 O (a, a), (a, b), (b, a).…

A: Option 1 is equivalence relation. Option 2 is also is an equivalence relation. Option 3 and 4 is not…

Q: Equivalence relation of

A: Let A = {0,1,2,3...} and define  relation  R = {(m, n); m^3 ≡ n^3 mod 3} we need to show that R…

Q: Which of these relations on the set of all functions from ℤ to ℤ are equivalence relations?…

A: (a) R = {(f, g) | f (1) = g(1)}        Now, as f(1) = f(1), thus (f, f) ∈ R.              Hence, R…

Q: Draw the diagraph of the relation R, where the relation R on {1,2,3,4} defined by (x,y) ∊ R if x^2…

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Q: A = {1, 3, 7, 9} and S be the binary relation on A defined by: x S y x^3 ≡ y (mod 10) (a) State…

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Q: There are 6 towns {A, B, C, D, E, F} with the following one way street relation {(A, B), (A, C), (B,…

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Q: Which of these ordered pairs belongs to the "does not divide" relation on the set of positive…

A: Which of these ordered pairs belongs to the "does not divide" relation on the set of positive…

Q: How many relations are there on the set {a, b}. Show all possible relations on the set {a, b} in…

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Q: Choose the correct option. The number of onto function from the set {1,2,….,11} to the set…

A: Let the set A be {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} and the set B be {1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: Prove or disprove if the composition of surjective relations is surjective. If it is not true, find…

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Q: 5) Let R be a binary relation over the positive integers defined as follows: R = {(a, b) | 2b < a <…

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Q: Question 2 List all possible equivalence relations on the set {1,2,3,4} without repetition up to…

A: To determine: The possible equivalence relations on the set 1,2,3,4.

Q: let A = { 1, 2, 3, 4, 5} and B = { a, b, c, d, e, f}. in each case, give an example of a function f…

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