et the domain be the set of all people. Let: P(x, y): x knows y. Vhich of the following is the correct translation for: "Someone is known by everyone." O Jy P(x, y) O JaVy P(x, y) O Vy3a P(z, y) O Væ3y P(x, y)

Q: Part A These following predicates, objects, and relations are for question 1, 2, and 3: P(x) :x is a…

A: Given that            To find: the predicate logic of the given sentence.

Q: I Let A = {1,3,5,7}, B = {1,2,3}, C = (6,7} and suppose the Universal set is U = {1,2,3, ..,7}. List…

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Q: 1. A = {2,5 – 7} and B = {a, k, u, j}. What is A x B? 2. U = {11, 22, 33, 44, 55}. V = {1, 2, 3, 4}.…

A: As per guidelines, I can answer only one question.

Q: Prove or give a counter example, let A and B be sets. Then P(A∪B) = P(A)∪P(B)

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Q: A @) AU (B'n c describe the set in words Ⓒ True or false (AUB) CA (3) Use A venn diAsram to shade…

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Q: Use the given sets to find |X n Y. U = х, у, Y = {suav.e}

A:

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Let A, B, and C be sets. Is the following equality true or false? A x (BUC) = (A × B) U (A × C')

A: Sets, distributive law

Q: Which of the following is true for all sets S and T? Select one: O A. SOT SOT B. SOT SUT C. SUT SOT…

A: see below the answer and explanation

Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: Which of the following set is consistent? Select one: O i. None of these O ii. (A&~(BVA) } O i. {J>…

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Q: 2. Let A = notation. {a,b,c}, B = {1,2}, C = {X, Y}. Write out the indicated set in list (A x B) x C

A: For given A, B, C set we have to find the value of (A x B) x C.

Q: Define: Intersection of two sets (A n B) Example: 4. Given the following sets, find An B A -…

A: Note: as per the guidelines, we are allowed to solve three subparts . Kindly repost the other…

Q: 5. Аx (В — С) %3D (А х В) — (А хС) 6. (А - В) хС %3 (АxC) — (В хС)

A: To prove the given statements.

Q: Let A and B be nonempty sets of real numbers. If sup A exists then: O a. sup (A U B) exists if…

A: a)If sup A and sup B exists then          supA∪B=max{sup A,sup B} So supA∪B exists. First option is…

Q: Mark the statement which is TRUE. O A. AN (BUC)- (AU B)n (A UC). O B. if ANB= AUB, then A = B. U C…

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Q: Prove or disprove: For all sets A,B and C: (A-B)-C = A-(BUC).

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Q: Given: Sets: A={-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} and B={0, 1, 4,9, 16, 25} Relation: R≤BX A…

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Q: Let A, B and C be sets. Consider the following statements. Which of them are true? 1. Ax B = B×A 2.…

A: Given that A, B and C are sets. Note: According to Bartleby guidelines we can solve only first three…

Q: Let A and B be sets. Prove that A Ū B = (A − B) U (B − A) U (ANB).

A: Let A and B be any two sets.Prove that: .

Q: For any set S if a*b = b*a, Va, b e S then * is said to be on S. (A) closed (B) associative (C)…

A: (a) For any set S if a*b∈S , ∀a, b ∈S , then *is closed on S   (b) For any set S if a*(b*c) =…

Q: Statement (11, 13, 15) Z (11, 12, 13, 14, 15} (7,9} Ø {c, d, f, g} = {d, fr (q, r, w) C (q, r, w}…

A: Introduction: Set A is said to be a subset of Set B if all the elements of Set A are also present in…

Q: (c) A \ B = A \ (An B). (d) A = (ANB) U (A \ B).

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Q: prove the following statement If A, B, and C are sets, then A - (BnC) = (A - B) U (A - C). Suppose…

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

Q: (LP4) Here are two definitions about sets: Let A be a set. The set A is called the compliment of A…

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Q: Let U= { 1,2,3,...,20}. Let A, B, C be the subsets of U. Let A be the set of all numbers, which are…

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Q: Show that if A and B are sets, then P(A) u P(B) c P(A u B), where P(A) denotes the power set of A

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Q: Let A = (5.8,9.17 19), B = (5,8,13 19}. C = {8,13,19), D= {5,13}, E = (9), and U = {5,8,9,…

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Q: Let the domain be the set of all people. Let I (x, y): "x is inspired by y". Match each of the…

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Q: prove that B = C.

A: Representations  1) L ∩ M -> Intersection of L and M is the common part that is present in both L…

Q: For the set [-0,4) U{5,9}U(6,7), JA = {4,5,6,7 } %3D ylgn İhi

A: False

Q: Part A These following predicates, objects, and relations are for question 1, 2, and 3: P(x) N(x)…

A: Given that s         :  Sa'adP(x)     :  x is a doctorO(x)    :  x has a private practiceM(x)    :…