Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set. A ∪ B

Q: Determine the number of subsets for the set T = {a, b, c}

A: topic- number of subsets number of subsets of set with n elements are 2n

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: Given the sets A = {0, 1, 3}, B = {1, 4, 5}, and C = {0, 1, 3, 4, 5}, what is A ∩ B ∩ C?

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Q: Use the given sets to find (A∪B)∩C   A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

A: Given that, A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

Q: For all sets A B and c, of CAXC)- CBrC)# Ø, then A-B#¢.

A:

Q: For the set B = {a,b, c, d, e} list all of the subsets having exactly two elements. O{b, c, d} O{a,…

A: We need to select the subsets of the set B={a, b, c, d, e} having exactly two elements (cardinality…

Q: S. is Setl

A: A small block slides without friction down an inclined plane starting from rest. Let sn be the…

Q: What can you say about the sets A and B if A ⊕ B = A?

A: The symmetric relation is described as, A ⊕ B =(A-B) U (B-A)

Q: When A, B, and C are sets, A∩(B⋃C) = (A∩B)⋃C if and only if     A ∩ C ⊆ A ∩ B     C ⊆ A     A…

A: According to the given information it is required to tell that when the below statement holds.

Q: Which of the following sets are equal? B = {d, e, a, c} A = {a, b, c, d} C = {d, b, a, c} D = {a, a,…

A: The given sets are A = {a, b, c, d}, B = {d, e, a, c} C = {d, b, a, c} and D = {a, a ,d, e, c, e}.It…

Q: What is the intersection of sets A and B?

A: The intersection of sets is a set which include the common of the two sets A and B. It is…

Q: The Venn diagram below shows the sets A, B,C and U. U A C Determine whether the given regions are…

A: We need to use given Venn Diagram to answer questions

Q: Given the following sets, find the set (A U B) n (AUC). U= {1, 2, 3, . . , 10} A= {3, 6, 8, 10} B=…

A:

Q: If A,B and C are sets, then A x (B-C) = (A × B)- (A x C). |

A:

Q: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

A: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

Q: Is it true that for any sets A and B,        P ( A ) ∪ P ( B ) = P ( A ∪ B )? Justify your answer.

A:

Q: For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions.…

A: We have to construct a Venn diagram for the given sets.

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

A:

Q: Given the following sets, find the set A' n (B U c'). U= {1, 2, 3, . . , 6} A= {1, 2, 3, 5} B= {2,…

A:

Q: What is the size of the union of the sets A and B, if |A|=|B|=12 and |ATT B|=10?

A: The sets A and B,A=B=12 and A∩B=10

Q: Show that if A, B, and C are sets, then|A ∪ B ∪ C| = |A| + |B| + |C| − |A ∩ B| − |A ∩ C| − |B ∩ C| +…

A:

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: Find the union of the sets. {e, m, p, t, y}∪∅

A: we have to find the union of the sets. e,m,p,t,y∪∅

Q: Given = {a,b,c,d,e } , P is the subset {abde} and Q is the subset { c.de}. What is the set (P N Q')…

A: On solving this we will get

Q: If A and B are sets, then A n (B – A) = Ø. %3D

A:

Q: Find the intersection of the sets. {a, b, c, d}∩∅

A: Given sets are {a, b, c, d} and an empty set ϕ

Q: For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions.…

A: Given :U={1,2,3,4,5,6,7,8}A={2,3,4}B={1,4,5,7,8}

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: Let A = {June, John, James, Justin, Jeffrey, Jelly}, B = {John, Jelly, Justin}, and C = {Irina,…

A: Let A = {June, John, James, Justin, Jeffrey, Jelly}  B = {John, Jelly, Justin} C = {Irina, Irena,…

Q: Consider sets A={1,3,5} and B = {2,4,6}. find A ∩  B

A: We apply the property of intersection

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: Given two sets: A = {a, b} B = {b, c, d} Construct the disjoint union of A and B.

A: Procedure to find disjoint union of family of sets. Consider family of set is  Ai:i∈ℕ∪0 . Let A=⊔Ai…

Q: For the sets U,A,and B, construct a Venn diagram and place the elements in the proper regions.  U=…

A: Solution-: We have, We construct a Venn diagram and place the elements in the proper regions.

Q: Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ C?. If not, give an example.

A: No, it is not true. EXAMPLE- Let A= {2}  B= {{2},3,4} C={{2},3,4,5,6} We can see here that,

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 =…

A:

Q: Let A, B, C, D be sets. If A\ B CC\D, then ANDC B.

A:

Q: Given the following sets, find the set A U (B n C). U={1, 2, 3, ..., 8} A = {1, 2, 3, 4} B= {2, 3,…

A: A set is a collection of elements. The elements that make up a set can be any kind of mathematical…

Q: Let A, B, and C be three sets. If A⊕C=B⊕C, show that A=B

A: Solution : Given that A,B and C are three sets. And the Direct sum of set A and C is equals to…

Q: Let n(A) denotes the number of elements in set A. If n(A) =p and n(B) = q, then how many ordered…

A: Given that: n(A)=p, and n(B)=q

Q: For any sets A and B, (AUB) = A' NB'.

A: For any two sets 'A' and 'B' A∪B'=A'∩B' In order to prove equality we will show: (A∪B)'⊂A'∩B'…

Q: determine which of the following sets are equivalent to the set (x,y,z) a. (w,x,y,z) b. (1,5,17)…

A: A set is a well-defined collection of objects. The objects, which belong to the set, are called…

Q: Show that if A and B are sets |A| = |B|, then |P(A)| = |P(B)|

A:

Q: for any sets A and B (AUB)'=A'nB'

A: We prove that for any sets A and B (AUB)'=A'nB'.

Q: Complete the membership table to show that for all sets A, B: B = (ĀU B) – B A B 11 1 0 0 1

A:

Q: Let A, B, C be three sets. Show that if B C A and C C A \ B, then BC A \C.

A: Given: Let A, B, C be three sets. To show: If B⊆A and C⊆A \ B, then B⊆A \ C.

Q: If A,B and C are sets, then A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

A:

Q: Let A = {1, 5, 9} and B = {1, 2, 4, 7}. Determine the set A × B

A: Given that Let A = {1, 5, 9} and B = {1, 2, 4, 7}. To determine Determine the set A × B

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

A:

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”.