List the elements of the given set. the sets (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4, 5, 6}, B = {3, 4, 5, 6}, and C = {1, 2, 6, 7, 8} (A ∩ B) ∪ C

Q: Let the Universal set be the letters a through j: U = (a, b, ..., i, j]. Let A = {b, c, d, j}, B =…

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Q: If A,B and C are sets, then (AUB)-C= (A – C)U(B –C). %3D |

A: 14. Given three sets A, B and C. We have to prove that A∪B-C=A-C∪B-C. In order to prove that 2 sets…

Q: (a) Choose a set that is equal to the set of Scott's favorite menu items. Customer Set of favorite…

A: The set including Shrimp, Samosa, and Gumbo will be called a set a equal to the set of Scott's…

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Q: Suppose that ? = {2, 4, 6}, ? = {2, 6}, ? = {4, 6} ??? ? = {4, 6, 8}. Determine which of these sets…

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Q: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: Consider the following sets: U = {2, 3, 4, 6, 8, 9, 10, 12, 14, %3D 15} |А%3D {3, 6, 9, 12, 15} В…

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Q: . Let A = { 1,2 ,3 , 4 } and B = { 0 , 1} . Use the set- roster notation to write each of the…

A: Given set is A=1,2,3,4 and B=0,1. a We have to find the A×B…

Q: 2. Use the set builder notation to give a description of each of the following sets: 1 2 3 4 5 2'3'…

A: Given

Q: Let A= {2, 3, 4}, B= {3, 4, 5, 6}, and suppose the universal set is U= {1, 2, 3, .., 9} List all the…

A: Universal Set: We consider all the sets to be the subsets of a given fixed set known as universal…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {a, b, d, e}, B =…

A: Given Universal set is, U = {a, b, ..., i, j}. & A = {a, b, d, e}, B = {a, d, h, j}, and C = {a,…

Q: Let the Universal set be the letters a through j: U = {a, b, .., i, j}. %D Let A = {a, d, f, g}, B =…

A: The universal set U is defined as, U = {a, b, c, d, e, f, g, h, i}.

Q: Which of the following sets are the empty set? {heart, spade} N {joker, wild, reverse} {heart,…

A: topic - sets  intersection of sets is the set thta contains elements common to both sets. union of…

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = {1, 3, 5, 7, 9), B = {2, 4, 6, 8, 10), and C = {1, 2,…

A: If U be the universal set and A, B, C be subset of U Then  The Union (or join) of the subsets A and…

Q: If P = {1, 2}, form the set P × P × P.

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Q: List all the subsets of the set A = {a, b, c, d}

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Q: We have determined that ANB = {Darius, Larry, Olsen}. We will now find the set (AN B) U C, which is…

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Q: What is a Partially Ordered Set? Draw the Hasse diagram for the poset x is a divisor of y on the set…

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Q: Let  A = {1, 2, 3, 4},   B = {3, 4, 5, 6},  and  C = {5, 6, 7, 8}.  Find each of the following…

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Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in…

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Q: 2. If A = {a, b, c}, B = {1,2, 3}, C = {r}, and D = 0, list all of the elements in each of the…

A: Cartesian product of sets

Q: List the elements of the given set. the sets (A n B) U C and An (B U C), where A = {1, 2, 3, 4, 5,…

A: Given, A = {1,2,3,4,5,6} B = {3,4,5,6} C = {1,2,6,7,8} Now,  we have to find A∩B∪C   and  A∩B∪C

Q: List the elements of the given set. the sets (A N B) UC and A N (BU C), where A = {1, 2, 3, 4}, B =…

A: use operation of sets to find the desired results

Q: If the universal set, U= {1,2,3,4,5,6,7,8,9,10} and A = {1,4,7,9,10}, B= {1,2,3,4,5} and C =…

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Q: Which of the following are disjoint sets?* B.(1,2,3) and (2,3,4) O (1,2,5) and (3,4,5) O (1,3,5) and…

A: Topic:- set theory If the two sets A and B are disjoint then they have no elements in common that is…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., I, ]}. Let A = {a, d, g, h), B =…

A: Introduction: The set (B ∪ C) contains all the elements that are either in set B, or C, or in both,…

Q: List all the subsets of the set {I, D, E, A}

A: Answer -Find the list of all the subsets of the set {I, D, E, A}

Q: Let A, B, and C be sets, evaluate: (A - C) n (C – B) O A O AnB O None of the choices

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Q: Let A = {0, 1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, and C = {0, 2, 4, 6, 8} e. Is there a pair of…

A: The given sets are A=0, 1, 2, 3, 4, 5, B=1, 3, 5, 7, 9 and C=0, 2, 4, 6, 8. e. Since the sets A and…

Q: Determine whether the following statements are true or false: (a) The empty set ∅ is a subset of {1,…

A: Empty set is a subset of every set. A Power Set is a set of all the subsets of a set.

Q: Consider the setsφ, A = { 1, 3 }, B = {1, 5, 9},                               C = {1, 3, 5, 7,…

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Q: If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii)…

A: Given:

Q: A Partition of a set has 3 subsets: A, B, and C. If Pr[A]=.25 and Pr[B]=.45, find Pr[C].

A: The provided information is,P(A) = 0.25P(B) = 0.45According to the general law of probability, the…

Q: Let p = {1, 2} and q = {1, 2, 3}. List all the elements in the set (p × q) ∩ (q × p)

A: p = {1, 2} and q = {1, 2, 3}. So, p × q = {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3)} &, q × p =…

Q: The table shows some trees that are in two city parks. Let U be the smallest possible set that…

A: The set Re defines the set of trees in Riverside Park and set S defines the set of trees on Sleepy…

Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

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Q: List the elements of the given set. the sets  (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4}, B…

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Q: Let S = {1, 2, 3, … , 10}, A = {1, 3, 5}, B = {1,4,6} and C = {2, 5, 7}. Determine the elements of…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: B = {a, b, c, d, e, g, h} C = {e, f, h, i} Complete a Venn diagram for the sets and then answer the…

A: Given information: U is the universal set, where: U=a, b, c, d, e, f, g, h, i A, B and C are subsets…

Q: the Universal set be the letters a through j: U = {a, b, ., , J}. Let A = {C, e, f, 1), B = {b, c,…

A: Given that  Universal set : U = {a, b, c, d,....... i, j } A={c, e, f, i} B={b, c, g, i} C={b, c, d,…

Q: Let A be a set and define A = {1,2, x,y}. So which of the following is A2

A: Given that A={1,2,x,y} The objective is to find A2=A×A.

Q: - (AUB)en(AnB) For an arbitrary set A and B, determine the

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Q: a. List the elements in the set A b. Are the elements d andh comparable? c. Is A a totally ordered…

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Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: Let S = {1, 2, ., 10}, A = {1, 3, 5}, B = {1,4, 6}, and C = {2, 5, 7}. Which of the following gives…

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Q: Let A = {5,6, 7}. What is P(A)? Do not merely describe the set, but rather write down all the…

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Q: Let U=​{a,b,c,d,e,f,g,h,i,j,k​}and find the complement of the set U. Choose the correct answer…

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Q: For all sets A, B, and C. Is (A ∩ B) ∪ C = A ∩ (B ∪ C)? Justify your statement. You may justify…

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Q: Consider the sets A = {1,2,3,4,5}, B = {3,4,5,7} and C = {2,4,6,8}. Then the set (AnC)OB is…

A: The sets are given as, A=1,2,3,4,5B=3,4,5,7C=2,4,6,8 Consider the definition of intersection of…

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.