Let S = {1, 2, 3, 4, 5, 6, 7, 8},  A = {4, 6, 7},  B = {2, 3, 4, 8},  and  C = {2, 4, 5, 6}.  List the elements in the set (A ∪ C)′ ∩ B.  A.{3, 8} B.{1, 2, 3, 4, 5, 7, 8} C.{1} D.{2, 3, 4, 6, 8} E.{2, 4}

Q: Find the indicated set if  A = {1,2,3,4,5,6,7}, B = {2,4,6,8} and C = {7,8,9,10) (a) A ⋃ B ⋃ C…

A: It is given that, A = {1,2,3,4,5,6,7}, B = {2,4,6,8} and C = {7,8,9,10)

Q: Find the union of the sets {1, 3, 7, 8} ∪ {2, 3, 8}.

A:

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

A:

Q: Let U= {2, 6, 8, 10, 12, 14, 16, 18}, A= {2, 6, 10}, B= {6, 10, 16, 18}, and C={14, 16}. Find B U C

A:

Q: Set A = | { 2, 2, 4, 5,1,2,6,9, 4, 5, 6, 2 } |. How many elements are in this set?

A: We have to find number of elements in set A

Q: Let X={a,b,c,d), f = ((a,b),(b,a),(c,c),(d,d)}CX×X, and g= ((a,d),(b,a),(c,b),(d,c)}CX×X. Find gof.…

A: Use the definition of composition of functions to solve this problem as in next step.

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 =…

A:

Q: U = {1, 2, {1}, {2}, {1, 2}}      A = {1, 2, {1}}       B = {{1}, {1, 2}}       C = {2, {1}, {2}}.…

A:

Q: Let the set A is (1, 2, 3) and B is (2, 3, -4). Then the set A- B is? a. {1, 2, 3} b. (1} C. {1, -4)…

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Q: If A={2,4,6,8,10,12,14} and B={1,3,6,9,12,15,18,21}. Find A∪B.

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Q: Find the sets A and B if A − B = {1, 4, 7, 11}, B − A ={2, 20}, and A ∩ B = {3, 5 ,19}

A: Set Question

Q: Set A = |{ { A, B, }, {5,1 }, {1,3,5 }, { 3}, { 2,3} }|.  How many elements are in this set?

A: We have to find number of elements in set A

Q: Let A = {0, 1,6, 8, 13} and B = {1, 6, 13}. How many sets C have the property that CCA and BCC.

A:

Q: B = {98, -42, 1, 56, 82, 607, 741, 87, -475, 80} C = {0, 475, 485, 87, 9, -412, 90, 651, 584, 89} D…

A: We have given that  Set of A,  B,  C, D, E I want to find union and intersection.

Q: LetD=​{16​,19​,21​}, E=​{16​,18​,19​,20​} and F=​{15​,17​,18​,19​,21​}. List the elements in the…

A: LetD=​{16​,19​,21​}, E=​{16​,18​,19​,20​} and F=​{15​,17​,18​,19​,21​}.   List the elements in the…

Q: Let U= {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}, A = {2, 3, 4, 5, 6}, and B = {0, 3, 6, 9}. Find A NB.

A:

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: Find the sets A and B if A - B = {1, 4, 7, 11}, B – A ={2, 20}, and A NB = {3, 5 ,19}

A:

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

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 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 = {-9, -7, -6, -4, -3, 1, 3, 4, 8, 10} and B = {-7, -6, -4, 1, 4, 8, 10}. How many sets of C…

A: Given that C has a property thatfrom the second condition we can conclude that all the elements of B…

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”.