7. Which of these relations on the set of all people are equivalence relation? a) {(x, y)\x and y are the same age} b) {(x, y)\x and y have the same parents} c) {(x,y)|x and y share a common parent}

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A:

Q: (24 pts) Either show the following relations are equivalence relations, or show which qualities of…

A: a. S = {0, 1, 2, 3}, R = {(0,0), (1, 1), (1, 2), (2, 1), (2,2), (2, 3), (3, 3)} Reflexive: Yes. We…

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A: Due to Bartleby answering guidelines I have solved only question no 3. Because you didn't mention…

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A: Equivalence classes of  [a]={a}.   Since only the element "a" is in the relation with "a" .…

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Q: Enter an example of an equivalence relation R on the set X = {0, 1, 2, 4, 8) such that all of the…

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Q: Given a set A={1,2,3,…,15} define a relation induced by a partition of set A and that partition must…

A: Given a set A={1,2,3,…,15} define a relation induced by a partition of set A and that partition must…

Q: A relation ''<'' is 1) İrreflexive. 2) Transitive. called a quasi-order on a set S if its: صواب ihi

A: We know that

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A:

Q: Show that the intersection of any collection of equivalence relations over a set A is also an…

A: We have to prove intersection of equivalence relations on a set is equivalence Let us suppose R and…

Q: Subject: Set Theory

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Q: Subject: Set Theory

A:

Q: Let A equal the set of all strings of O's, 1's, and 2's that have length 4 and for which the sum of…

A: To show R is an equivalence relation, we have to show that R is Reflexive, Symmetric, and…

Q: (i) The equivalence class [b] determined by b E B is a non-empty set. 1 (ii) If r and y are elements…

A: Given that S and T are equivalence relation on a set B. i ) the equivalence class [b] determined by…

Q: Visualizing equivalence relations. Draw all of the equivalence relations on a set with three…

A:

Q: Determine whether each relation is an equivalence relation. Justify your answer. If the relation is…

A: According to the given information it is required to check whether the given relation in each part…

Q: Define a binary relation on the set S=(-3, -2, -1, 1, 2, 3} as follows: R= {(a,b) ab>0} %3D a. Find…

A:

Q: The 2-tuples (ordered pairs) of integers is the set Z x Z and can be given an equivalence relation…

A: The given set is ℤ×ℤ, where ℤ is the set of all integers. So basically ℤ×ℤ is the set of all ordered…

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Q: 3. Show that the relation R (called lexicographic ordering) defined on Z x Z by: (a, b)R(c, d) if (a…

A:

Q: x R y in R if | x |=||

A: we have to find the relation R where R is defined by x R y in ℝ if x=y, equivalent or not.

Q: aRb, cRd and aRd, then bRc.

A: A relation R defined on a set A is i) reflexive if aRa for all a belonging to A.ii) symmetric if aRb…

Q: (a, b, c, d) and define a relation R on A as follows: R = ((a, a), (b, b), (a, b), (c, c), (b, a),…

A:

Q: Give an example of an equivalence relation R on the set Q such that there are exactly three distinct…

A: We take the help of the signum function

Q: Give an example of two equivalence relations R and S on the set A = {1, 2, 3} such that RUS is not…

A: 6 Given set is A=1,2,3. Consider the relation R and S on A is given by  R=1,1,2,2,3,31,2,2,1 And…

Q: = Give an example of an equivalence relation R on the set A {a, b, c, d, e, f, g, h} such that there…

A:

Q: What is the significance of the line above the 'a' variable in this context?

A: Given . is nothing but a element of A.And the set is just denoted by, is called the class of . It…

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: Which of the following statements about equivalence relations and partial ordering is/are ALWAYS…

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Q: Ris an equivalence relation on a set with 5 elements. Which of the following are possible? There are…

A: We know equivalence classes are disjoint classes. Since R has 5 elements . Hence , possible cases…

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Q: Discrete mathematics

A: Partial ordering relation

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Q: Let X = {1, 2, 3, 4, 5, 6}. Which of the following could be an equivalence class of an equivalence…

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Q: How many equivalence relations on the set {1, 2, 3}? 1. О З 2. O 6 3. О 5 4. O 4

A: The objective is to find the total equivalence relation on set {1,2,3}.

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A: