Find the number of elements in sets A, B, and C using the given information. AnC-Ø,n (An B) = 6, n(C – B) = 2, n(B-C) = 9, n(BUC) = 18, n (A U B) = 19

Q: Given A⋂B = {s, z, u} and A⋂C = {s, z, u, m, n} .Find how many elements the set A⋂ (CUB) has?

A: We know that A⋂ (CUB)= (A⋂B)U A⋂C

Q: In a mall survey, 200 consumers were asked where they did their gift shopping; Macy’s, JC Penny’s,…

A: Let us denote M=Macy's, J=JC Penny’s, S=Sear's  Given that 40 people shopped at least at two…

Q: Given the Venn diagram, shade the corresponding regions. 1. A - (B' ∪ C')' 2. (A ∪ C')' - B

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Q: Use the given information to determine the number of elements in each of the four disjoint subsets…

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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: Given the sets A = {5,6, 7}, B= {0, 1, 2, 3, ...}, and C {4, 5, 6}, tell which of the following…

A: Given the sets A=5, 6, 7B=0, 1, 2, 3, ...C=4, 5, 6 We shall check the correctness of statements a,…

Q: Given the Venn Diagram where U= {2, 4, 5, 6, 9, 10, 16, 21, 23} %3D U M N 13 10 9. 6. 4 23 11 16 21…

A: In the question it is asked to calculate following terms for the Venn Diagram given in question.…

Q: Find, if possible, the number of elements in sets A, B, and C using the given information: n (C…

A: Refer to the question. Use the venn diagram method to solve this problem.Now here n(A intersect B)…

Q: 2. Given: n (U)3D30 , n (A )= 9, n (B) = 7, and n ( ANB)= 3. Draw a Venn Diagram to illustrate the…

A: Since you have posted multiple questions , as per the guidelines we will solve the first one for…

Q: Fill in the Venn Diagram below by dragging the appropriate entry to the orrect location given that:…

A: Explanation of the answer is as follows

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: 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: Use the given information to draw a Venn diagram. n(A n B n C) = 2, n(A n BC n C) = 8, n(AC n BC n…

A: According to the given information, it is required to draw the Venn diagram for the given…

Q: Show that if A, B, and C are sets, then A n Bn C = A U BUC a) by showing each side is a subset of…

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Q: Draw a Venn diagram and use the given information to fill in the number of elements in each region.…

A: Venn Diagram question.

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: In a particular Insurance Life Office, employees Smith, Jones, Williamson and Brown have 'A' levels,…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Given the following definitions: U = {1, 2, 3, 4, 5, 6, 7} A = {1, 2, 4, 5} %3D B = {1, 3, 5, 7} How…

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Q: .Use Venn diagrams to determine whether following is true. a. A – (BNC) = (A – B) N (A – C)

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Q: Consider the sets A = {x € Z*, x < 13 | x prime} B = {x e Z*,x < 13 | x even} C = {x € Z*,x < 13 |…

A: We know that the set of positive integers is written as . We have to find the size of the set  .…

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: Refer to the Venn Diagram shown below. Find G'n H' •.. y k z (А) {p, у, t, q, k, z, s} B {k, z, s}…

A:

Q: A B

A:

Q: Consider the sets: A = {a, b, c, d, e, f, h, j} B = {a, b, i } C = {f, h}  U = {a,b,c,d,e,f,g,h,i,j}…

A:

Q: Given that: • JU| = 60 • |A| = 23 • [B| = 24 • |C| = 30 • |AN B| = 10 • |AnC| = 11 • |BnC| = 7 •…

A: i) A∪B∪C=A+B+C-A∩B-A∩C-B∩C+A∩B∩C=23+24+30-10-11-7+2=51

Q: Use Venn Diagrams to find A \ B and B \ A where A = {1,2,3} and B = {2,3,4}

A:

Q: Given the following definitions: U = {a, b, c, d, e, f, g} A = {a, c, e, g} B = {a, b, c, d}…

A: Given, U = {a, b, c, d, e, f, g} A = {a, c, e, g} B = {a, b, c, d}

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: consider the tollowneg P, A = 4if, B=h:}, c = {1,5.9}, 0= {1 2, 3,4.5} E = 81 ... In sert the…

A: Given some sets: φ, A = {1}, B ={1,3}, C = {1,5,9}, D = {1,2,3,4,5}, E= {1,3,5,7,9} and U =…

Q: Find, if​ possible, the number of elements in sets​ A, B, and C using the given information…

A: Draw the Venn diagrams depicting this scenario . Use the Venn diagrams to obtain the number of…

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: Given U = {a,b,c,d,e.f.g.h.ij) A = {b,d.f,hj} B = (e,f.g,h.ij} find the following sets. a. {f,hj} b.…

A:

Q: SAT alex casey hunter drew blair jade erin glen francis ira From the above Venn diagram, what is the…

A: Using set theory

Q: find the subset of (E, B,T,*)

A:

Q: Construct a Voronoi Diagram for two shops C(-3,3) and D(3,1) T 3 2 3 N | 2 ? 1 2 Add to Cart View…

A:

Q: Given the following sets { a, b, e } {a} {a, d} in the universe U = { a, b, c, d, e }, what is…

A:

Q: How do I find A’ , Is It B,D and F ?

A: Given U = {a,b,c,d,e,f,g}A = {a,c,e,g}B = {a,b,c,d}A' is nothing but compliment of the set A which…

Q: n(ANB) = 9, n(ANBNC) = 3, n(BnC) = 7, n(B- A) = 6, n(BUC) = 19, n(Anc) = 5, n(AUBUC) = 24.

A:

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

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: The Venn diagram below shows the number of elements in set A and B. n(A UB). The Venn diagram on the…

A: Given: nA∪B=35, nA∩B=7, nB=19 As  nB=19 ⇒y+7=19⇒y=12

Q: ven that n(U) = 50, n(A) = 25, n(B) = 22, and n(A U B)' = 13,  a) Find n(A (Intersect) B) b) Draw…

A: First we have to find n(AnB): Given that, n(U)=50 n(A)=25 n(B)=22 n(AUB)'=13

Q: 2. Shade the portion using a Venn Diagram that represents the set. (A' U B)'n C

A:

Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: A Venn diagram of A and B is given below A В -2 8 3 13 4 -1 -3 7 Find Aº U Bº.

A: Using Demorgan's law we get Ac∪Bc=(A∩B)c

Q: Find, if​ possible, the number of elements in sets​ A, B, and C using the given information.…

A: Detailed explanation mentioned below

Q: 10. Given sets A, B, and C, such tha |U = 175|, |A| = 42, |B| = 20, |C| = |ABC| = 4. Calculate:…

A: The formula of sets for the three  sets A, B, and C is: n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) -…

Q: Write the following sets by listing their elements between braces. 1. P({{a,b},{c}}) 2. P({1,2,3,4})…

A: Given

Q: Given ξ= {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q}, P = {b, e, c, j, m, n}, R = {c, l, m,…

A: Given- ξ = a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, P = b, e, c, j, m, n, R = c, l, m, n,…

Q: Given the following information, determine the number of elements in each of the four disjoint…

A: Given: n(A)=35, n(B)=85, n(AUB)=90, n(U)=100.

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”.