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

Q: et A = {m, 4, 2, 13}, B = {1, 2, 4, 13, -2} and C = {1,3,5,7,9} Find AUB. Find ANC. Find (AUC)NB.

A: From the given data we should find  A∪B,A∩C   and (A∪C)∩B1) AUB Means all the elements written…

Q: For the sets A, B, and C (let A = {1, 2, 3, 4}, B = {1, 3, 5) and C = {2, 4, 5}), find: A x B, (An…

A: 1,  A × B: The Cartesian product of A and B represents all ordered pairs where the first element…

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: If P = {a, b, c} and Q = {r}, form the sets P × Q and Q × P. Are these two products equal?

A: P × Q = {a,b,c} × {r} = {(a,r) , (b,r) , (c,r) } Q × P= {r} × {a,b,c} = { (r,a) , (r,b) , (r,c) }

Q: Let A = {1,2,3,..., 10}, B = {2,3,6,8), and C= {3, 5, 4, 8, 2}. Find the following:

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Q: Let A, B, and C are three sets, prove that Cx (A – B) = (C x A) – (C × B) C.

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Q: (g) P(A)– P (B) (h) P(AnB) (f) P(A)n P(B) (i) P(A)× P(B)

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Q: Answers must be in 4 decimals If S = {0,1,2,3,4,5,6,7,8,9} and A = {0,2,4,6,8}, B = {1,3,5,7,9}, C =…

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Q: let u=(1,2,8,-7) and v=(-7,8,1,-1) Select one: a. -10 b. 10

A: u = (1,2,8,-7) v = (-7,8,1,-1)

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

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Q: Find the set (A∪B)∩C if A={0},B={1,2} and C={−1,0,1,2}

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Q: Let A= {2, 4, 6}, B={2, 6}, C={4, 6} and D={4, 6, 8}.

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Q: en A={x,y},B={1,2,3} and C={m,n}. How many orderd pairs are there for A×B×C

A: To find how many ordered pairs are there for A x B x C

Q: b. Find A and B so that A = 27 = P(A, B). and B =

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Q: Given the sets A = {1, 2, 3, 4, 5} and B = {2, 4, 6}, calculate the following sets: i. AU (B N A)…

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Q: Let A = {1, {b}, {1, b}} a. Place an e or in the blank to make each of the following statements…

A: ● Let x be an element of a set A , then its denoted as x∈A .● If All elements of a set B is present…

Q: Let z₁ = 7 - ni, 2₂=2 m+ 3 i, and Z3=4-7 i If 2 Z₁ + Z₂ + 2 z3 = 28+5 i,find m and n: m n=

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Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) - - O…

A: Given: Two sets A and B. We have to write the symmetric difference of A and B.

Q: Given A={x,y},B={1,2,3,} and C={m,n}. How many ordered pairs are there for AXBXC

A: Elements of A×B are the ordered pairs of the form  A×B=x, y | x∈A, y∈B Given : A=x, y, B=1, 2, 3,…

Q: Let A = { 2, 4, 6, 8} and B = { 6, 8, 10, 12}. Find A ∪ B.

A: A ∪ B = {2,4,6,8} ∪ {6,8,10,12}

Q: The sets B and L are given below: B={e,f,j} L={a,c,g} Find the union of B and L. Find the union…

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Q: Find the sets A and B if A − B = {1, 5, 7, 8}, B − A = {2, 10}, and A ∩ B = {3, 6, 9}.

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Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: Let A and B be sets. The symmetric difference of A and B is Select one: a. (A − B) n (B − A) O b.…

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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”.