Let D = {b, a, c, k}, E = {t, a, s, k}, F = {b, a, t, h}. Using these sets, find the following: F ^c ⋂ D   D ⋂ (E ⋃ F)

Q: Prave that for all sets A and B, (ANB) = A UBC %3D

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Q: Let J = {1, 2, 3, ... }, the set of counting numbers and let R be the set of real numbers. Is R − J…

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Q: Consider the following sets: U = {a, b, c, d, e, f,g,h, i,j,k} А %3D (а, b, с, d, e } B = {a,b, c} C…

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Q: Select the set that corresponds to the relation given in the arrow diagram below: A 1 C . 3. O {{A,…

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Q: Which of the following sets spans R³? O {(-3,0,2).(0,0,0)} O {(-3,0,2),(5,1,0),(0,-1,1)} O None of…

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Q: Which of the following are difference sets? (iii) {3, 6, 7, 12, 14} in Z21.

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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: Let X={a,b,c} and Y=∅. What is X∩Y? If the set is empty type ∅, otherwise write your answer in…

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Q: Which of the following sets spans R³? O ((3,0,-2).(0,0,0)) ((3,0,2)} O {(3,0,-2),(5,1,0),(0,-1,1)} O…

A: Find the spans R3

Q: Express the set using the roster method. {x | xEN and 4<xs7} Choose the correct answer below. O A.…

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Q: Represent the set using listing method. {x E N, such that x + 6x = 0} None of these {0, -6} O{0}…

A: The given set is     { x ∈ N , such that x2 + 6x = 0} We represent the set into listing method.

Q: Consider the sets. A = {distinct letters in the word miss} B = {13} C = {m, i, s} D = {3+ 1} E =…

A: This question is about set therories

Q: List all the ordered pairs in the relation R = {(a, b) | a divides b} on the set {1, 2, 3, 4, 5, 6,…

A: To list all the ordered pairs in the relation.

Q: Use the given sets to find D∪(E∩F)D∪(E∩F). U={a,b,c,d,…,x,y,z}U={a,b,c,d,…,x,y,z}…

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Q: Consider the following sets, A = { a, b, c, d } B= {e, f, g} C={a, b, c, d, e, f} Does A and B form…

A: We use the definition of partition of a set to answer the given question.

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Use the following sets to perform the given set operation: U = {a,b, c, d, e, f, 8,h, i, j,k, p, r,…

A: Since you have posted a question with multiple subparts according to guildlines I will solve first…

Q: You are given two sets, A = {a,b,c,d} and B = {1,2,3}. How many relations can be defined from set A…

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Q: Use the given sets to find ||A∩B|||A∩B|. U={a,b,c,d,…,x,y,z}U={a,b,c,d,…,x,y,z}…

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Q: Find a one-to-one correspondence between the following pairs of sets. a A = {a, b, c} and B= {1, 2,…

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Q: For each part, write the set in the form [x | P(x)] (property that describes the elements of the…

A: Explained below

Q: Express the set using the roster method. {x|XEN and 30≤x_80} Choose the correct answer below. O A.…

A: Given the set in set builder form . We need to write this set in set builder form. Now,  Set is…

Q: Express (4, 10) as a set {x:|x−a|<cx:|x−a|<c} for suitable a and c.

A: give domain of xx∈(4,10)i.e4&lt;x&lt;10

Q: Express the set using the roster method. {x | XEN and 6<xs 12} Choose the correct answer below. O A.…

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Q: Describe the following sets in words and/or pictures: 1. {(x,y,z): y = x2 } 2. {(x,y,z): y > z }…

A: Here, to describe the given sets in words and/or picture.

Q: Consider the relation R = {(a, a), (c, a), (b, c), (d, b)} then which of the following set…

A: We need to find R3 given R=a,a,c,a,b,c,d,b Now,  R2=RοRR3=RοR2=R2οR The composition of two…

Q: List the ordered pairs in the relation R from A=0,1,2,3, 4 B =1,2,3, 4, 5, where Ris defined as (a,…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: - List the ordered pairs in the relation R from A = (0, 1, 2, 3, 4} to B = {0, 1, 2, 3}, where (a,b)…

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Q: Express the set using the roster method. (x| xEN and x> 9) Choose the correct answer below. O A.…

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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: show whether X *y= union, unit element Pand elenent properties exist on the set

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Q: For the universal set U {a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y,…

A: Solution:     U – { a, b, c, d, e, f, g, h, i ,j ,k ,l ,m ,n ,o ,p ,q ,r ,s ,t ,u ,v ,w ,x , y, z }…

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: Determine whether each of these pairs of set are equal 1 (5,6,7,8,9,10) (1,2,3,3,4,4) = 2.…

A: We know that two sets A and B can be equal only if each element of set A is also the element of the…

Q: Which of the following are difference sets? (ii) {0, 1, 3, 5} in Z13,

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Q: 4. Write the set in the form (x P(x)}, where P(x) is a property that describes the elements of the…

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Q: ven the following sets, find the set (A U B) N (A U C). U={1, 2, 3, ..., 10} A= {1, 2, 3, 10} B={1,…

A: In this question, the concept of set operation is applied. Set Operation The concept of set…

Q: Which of the following sets of ordered pairs represen A. { (0,2), (1, 3), (2, 4), (3, 5), (4, 6) }…

A: Function: A function is a relation for which each value from the set the first component of the…

Q: Express the set in roster form. B= (x | XEN and x26) Choose the correct answer below. O A. B- (7, 8,…

A: Given: B={x|x∈N and x≥6} To find: Express the set in Roster form

Q: Express the set in roster form. B= {x| xEN and x is even) Choose the correct answer below. O A. B=…

A: Please refer the attached image for complete solution.

Q: 3.* Show that (A \ B) \ C = A \ (BUC). Is (A \ B)\C = A\ (B\C)? 4.* If A and B are sets, we define…

A: Set equality proof

Q: Express the set in roster form. B= {x | xEN and x is a multiple of 6} Choose the correct answer…

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Q: Find the set P([a, b]) x P({0,1)).

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Q: Which of the following sets spans R3? O {(3,0,-2),(5,1,0),(0,-1,1)} None of these O {(3,0,-2)} O…

A: Dimension of R3 is 3. It means any three linearly independent elements of R3 can span it here we…

Q: Express the set using the roster method. {x|XEN and 30 ≤x≤ 90} Choose the correct answer below. A. Ø…

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Q: Consider the relation on A = {a, b, c, d, e} given by R={(a,b),(b,c),(b,d),(b,e),(d,e)}

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Q: List all the ordered pairs in the relation R= {(a, b) | gcd(a,b) = 1} on the set {2, 3, 4, 5, 6}.

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Q: Which of the following sets is (are) closed under multiplication? Explain why or why not. d.{0, 1}…

A: (d) the set {0,1} is closed under multiplication, because, 0•0 = 0, 0•1 = 0, 1•0 = 0 &amp;, 1•1 = 1

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”.