Suppose U = N = { 1,2,3,… … } is the universal set. Let,  A = { 1,2,3,4 }, B = { 3,4,5,6,7 }, C = { 2,3,8,9 }, E = { 2,4,6, …} Ac A ⊕E

Q: c. Which set is equal to (B\A)¢? d. What is the cardinality of a countably infinite set?

A:

Q: Let A and B be sets. Prove that A U B = An B if and only if A = B

A: First show if A∪B=A∩B then A=B, then show that if A=B then we have A∪B=A∩B.

Q: OC. (An BU C (1, 3, 5, 6, 7, 8) OD. (An BJU c (5, 7) OE. None of the above

A:

Q: Does {(1,2), (–2, –4), (3, 6)} span R??

A:

Q: et V = {1,2,3,4,5,6} and B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}. Determine |Aut(V, B)|

A: Given: V = {1,2,3,4,5,6} B = {{1,2,3},{1,5,6},{3,4,5},{2,4,6}}

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

A:

Q: 1. Consider the region bounded by y = e-* + 1, y = 2 and x = 3. a. Sketch the region. Do not forget…

A:

Q: What is the domain of the set g= {(2, 1), (3, 5), (4, 7), (5, 9)}

A: GIVEN-  set g is given g={ (2, 1) , (3, 5), (4, 7), (5, 9) }  TO FIND -  DOMAIN OF set g  CONCEPT-…

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)…

A:

Q: Let AAB denote the symmetric difference of the setsA,B. Suppose that A = {1,2,3,4} and B= {2,4,6,8}.…

A: Symmetric difference means elements which are in either of the sets but not both.  Thus, symmetric…

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: 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: (1) Let A = {1, 2, 3, 4}, B = {2, 4, 6}, C = {1, 3, 5} and U = {1, 2, 3, 4, 5, 6, 7}. Compute the…

A: By the authoring guidelines of Bartleby, we can answer only first three subparts, please post other…

Q: . Let f= {(-4,4), (-2, 4), (1, 3), (3, 5), (4, 6)} and g= {(-4, 2), (-2, 1), (0, 2), (1, 2), (2, 2),…

A:

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: 1. Show that 2 is a primitive root modulo 13. 2. For each element a in T, find the index of a mod 13…

A: T=1,2,3,4,5,6,7,8,9,10,11,12

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: For the set [-0,4) U{5,9}U(6,7), JA = {4,5,6,7 } %3D ylgn İhi

A: False

Q: Let A = {1,2,3} and B = {1,2,3, 4}. The relations R1 = {(1,1), (2,2), (3,3)} and R2 = {(1,1), (1,2),…

A: Given that  R1={(1,1),(2,2),(3,3)}R2={(1,1),(1,2),(1,3),(1,4)} We need to find  a. R1∪R2b. R1∩R2c.…

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: Which of the following sets spans R°? None of these {(-3,0,2)} O {(-3,0,2),(5,1,0),(0,1,1)}…

A: The solution is given as

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 = {0, 1, 2} and let B = {-2, 0, 1, 2}. %3D

A: Given,        A=0, 1, 2, and B=-2, 0, 1, 2

Q: Write out the elements of the set 2X where X= = {1,{0}, Ø, {2,3}}.

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”.