What is the possible number of reflexive relations on a set of 5 elements?

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

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Q: Let A = {a,b, c, d, e, ƒ}, and let G and H be the following equivalence relations in A: G = IA U…

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Q: Give an example of a relation on the set {a, b, c, d} which is symmetric and transitive, but not…

A: Any relation R from a set Ato A is reflexive if and only if for every x∈A , the pair (x,x)∈R Any…

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: Let set P = {a, b, (b), ({{a), 3}}. Which one of the following is NOT a valid relation on P? Select…

A: R is said to be relation over P iff R is a subset of P×P.

Q: Which of the following sets of connectives are expressively adequate? →, ¬, A →, +, V 7,V ^, V

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Q: Consider the "divides" relation on the set A = {1, 2, 3, 5, 6, 7, 8, 10, 20, 30, 60, 70} (d) Find…

A: We form the following Hasse diagram -

Q: can two disjoint sets be close? Justify your answer using an example.

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: Consider the set {x|x less than or equal to -3} (in set-builder notation)

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Q: Consider the following relations: R₁ = {(a, b) € R²1 a> b), the greater than relation R₂ = ((a, b) =…

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

Q: Suppose that the universal set for all variables is Z, and let P(a, b, c) be the predicate a^2 = |b…

A: Given: The universal set for all variables is ℤ. Pa, b, c is a predicate a2=b-c. To provide:  (a) an…

Q: Given set A = {1, 2, 3} and S = P(A) The relation is defined as xRy ⇔ |x| = |y| Indicate the…

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Q: why Ua equals to empty set

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Q: Hi, What is the "{}" when it comes to sets? Like for example what is the difference between {x} and…

A: The "{}" means "the collection of" or "a set". There is a big difference in  between {x} and {{x}}.…

Q: and B = {Thaddeus, Peter} be the set of male members. Let R be the relation between the sets A and B…

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Q: In category theory, explain how categorical duals work and why they are significant in…

A: Category theory is a branch of mathematics that explores mathematical structures and their…

Q: Given the relations on the set of real numbers, R, = {(a,b) e R², a > b}, R2 = {(a, b) E R2, a > b},…

A: Given the relations on the set of real numbersR1=a,b∈ℝ2, a>bR2=a,b∈ℝ2, a≥bR3=a,b∈ℝ2, a<b

Q: Use graph to find set. (- ∞, 5)∩ [1, 8)

A: To determine: The set -∞,5∩[1, 8) using graph.

Q: 8) Let a 3-2 +45 for n-0, 1, 2, 3,... If we write an as a recursive relation, it is Hint: calculate…

A: 8) Given an=3.2n+4.5n for n=0,1,2,3,...   To Find: an as recursive relation

Q: Let R be a total relation on a set of 15 elements. Then the number of ordered pairs in R is equal…

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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: 2.) Suppose A is a set with 4 elements and B is a set with 3 elements. How many relations are there…

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Q: 2. Let A = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and suppose R is a relation defined by a is related to b…

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Q: A) List all reflexive relations can be defined on set {a, b}. B) List all ordered pairs in the…

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Q: Let R and S be any two equivalence relations on a non-empty set A. Then check whether ( R…

A: Introduction :

Q: Suppose A and B are two finite sets such that |B| = 2 |A| and the number of relations on A is 16.…

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Q: 1(b). Is (p->q)->[(p->q)->q] a tautology? Why or why not?  (c). Given the relation on the set .…

A: We are entitled to solve only one question at a time. Please submit another question separately. To…

Q: State the formal definitions that a relation must satisfy in order to count as Reflexive, Symmetric,…

A: Reflexive relation: A relation R is reflexive over element X if every element X is related to…