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

Q: Determine:-a. gcd(2,10) lcm(2,10)b. gcd(20,8) lcm(20,8)c. gcd(12,40) lcm(12,40)d. gcd(21,50)…

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Q: Which of the following are difference sets?

A: Introduction: A (v, k, λ) difference set is a k-element subset D of V = Z (mod v) in which any…

Q: For the three sets A, B, and C,  A-(BUC) will be equal to,

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Q: Use A={4, 5, 6, 8, 9} and B={2, 3, 6, 8} to find the set A (U this is upside down) B

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

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Q: Suppose B = (9, 2) and AB = (11, 4). Then A = %3D

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Q: Compute P7,2.

A: It is given that n = 7 and r = 2.

Q: -1, 2, 7, 14, .. Find a,

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Q: What is the cartesian product of sets {1,3,4} and {2,9}?

A: 1, 3, 4  and 2, 9

Q: Let A = {j, z}, B = {1,5,7}. Each element is expressed as an ordered pair. ВХА3{ }

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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: be the sets B1={u1=(-3,0,-3),u2=(-3,2,-1),u3=(1,6,-1)} B2{v1=(-6,-6,0), v2=(-2,-6,4),v3=(-2,-3,7)}…

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Q: draw (A∪B) ∩C’

A: Draw a venn diagram

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

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Q: Find A3 if A = {1, 2, a, b}

A: Given,      A=1, 2, a, b

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}

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Q: The set S= {(-4,-3,4), (1, 2 3), (6,0,0)}

A: TO TELL THE SET IS [ (-4,-3,4) , (1,2,3) ,(6,0,0 ) ] IS LINEARLY DEPENDENT OR LINEARLY INDEPENDENT

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: 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

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”.