U={1, 2, 3, 4, 5

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of th the following sets. (a) Ax B (c)…

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Q: If A={2,3,5,7}, B={2,4,6,8,10}, and C={1,2,3,4,5}, then what is (A∪C)∩(B∩C)?

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Q: Let A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D = {5, 6, 7, 8}. Verify that(i) A × (B ∩ C) = (A ×…

A: i) Answer(i) A × (B ∩ C) = (A × B) ∩ (A × C) (proved)

Q: If A={2,3,5,8,13}, B={1,2,3,4,5,6}, and C={2,4,6,8,10}, then what is (B∪C)∩(A∪B)?

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Q: Let A = {small, medium, large}, B = {blue, magenta}, and C = {pentagonal, round}. List the elements…

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

A: Given: n(A∩B)=5​,    n(A∩B∩C)=3​,    n(B∩C)=9​,    n(B−A)=8​,    n(B∪C)=19​,    n(A∩C)=6​,…

Q: 18 Let U={1,2,3,4,9}, A={2,3}, and B={4,9}. In each of the following questions, find the indicated…

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Q: If A={3,7,9,13,22}, B={5,7,14,23,31}, and C={8,9,15,23,25,31,33}, then what is (A∪B)∩C?

A: It is given that A=3,7,9,13,22,B=5,7,14,23,31 and C=8,9,15,23,25,31,33. It is required to find…

Q: A={b,f,h,j,k,m} B={a,c,d,e,f,j,k}B={a,c,d,e,f,j,k} A∪BA∪B = {  } A∩BA∩B = {  } (A∩B)c(A∩B)c = {…

A: Given A = { b, f, h, j, k, m } B = { a, c, d, e, f, j, k }

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: Given 2 sets A and B with A=blue, red, green, orange, yellow, purple  and  B=pink, black, orange,…

A: The given sets are A=blue, red, green, orange, yellow, purple and B=pink, black, orange, yellow,…

Q: d) The set E = (-1,0) U (0, 1] is an open set. %3D

A: Given set is E = (-1, 0) ∪ (0, 1]

Q: If P(F) = 0.7, P(Ec∪F) = 0.8, and P(E ∩F) = 0.3, finda) P(Ec ∩Fc) b) P(E ∪Fc)   c) P(Ec ∪Fc)

A: From the given information, the value of P (F) = 0.7, P (EC U F) = 0.8 and P (E intersection F) =…

Q: 2. Express the set using the roster method. (x | XEN and xs 5) Choose the correct answer below. O A.…

A: In given question, we can define the set using roaster method.

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Let A = {small, medium, large}, B = {red, black}, and C = {pentagonal, round}. List the elements of…

A: Given : A =small, medium, largeB = red, blackC = pentagonal, round

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: Let A = {1, 2, 3, 4, 5} and R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 2), (2, 3), (2, 4), (2,…

A: