. II is the set of even integers. Which set is a proper subset of I? a,{}{} b{−3,−1} c{2,3,4} d{25,27,29,…} 2.If X={…,1,2,3}, then which set is a proper subset of X? a{0,1,2,…} b{−8,−10,−13 c{2,3,4} d{…,1,2,3}

Q: 5) now that for all n EN, if A1,A2, ..., A and B are any sets, then n 11 nc₁x) = (N₁) va (A₁\B) B.…

A:

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

A:

Q: Given set C containing the union of positive odd integers and negative even integers. Which of the…

A:

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: 29. For all sets A, B, and C, (A – C) n (B – C)n (A - B) = Ø. |

A:

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…

A:

Q: 2. Which of the following sets is a universal set for the other three sets? * O A. The set of even…

A: Solution-: We find a universal set among the other three sets

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

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Q: Suppose A and B are sets such that |A| = 2 and |B| = 3. What is |P(A x B)|?

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Q: Suppose that A and B are finite sets. Prove that A U B is finite, and |A U B| = |A| +|B| -|A n B|.…

A:

Q: Which of the following sets are equal? B = {d, e, a, c} A = {a, b, c, d} C = {d, b, a, c} D = {a, a,…

A: The given sets are A = {a, b, c, d}, B = {d, e, a, c} C = {d, b, a, c} and D = {a, a ,d, e, c, e}.It…

Q: Which of the following statements is true about the three sets A.B.C defined below: A=[ – 4,4]…

A: The given three sets are: A=[-4,4]B=[-6,2]C=[-2,6] i.e. the set A consists of the elements…

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

A:

Q: 4 Which pair of sets represents one set being a subset of another but is not equ A. N, the set of…

A: Since multiple questions are asked, I am answering the first question

Q: . How many relations are there on the set S = {2, 4, 6}? 892 512 none of these 1024

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Q: Which of the following pairs of sets is a disjoint set? O (1,2,3,4) and (x x is a natural number and…

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Q: 1. List the elements of each set where N= {1,2,3...} a.) A = EN|3 < x < 9} %3D b.) B = x€ N|x is…

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

A: As per our guidelines only one question can be solved. Solution for the 1st question is given below…

Q: Which of the following pairs of sets are disjoint and which are not ? (i) {x : x is an even natural…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Which of the following sets is empty ? * O (x: X = x*2} O (x: x is not equal to x) O (x: x is not…

A: A set is said to be empty if it does not contain any element.

Q: 2. If A = {a, b, c}, B = {1,2, 3}, C = {r}, and D = 0, list all of the elements in each of the…

A: Cartesian product of sets

Q: Which of the following sets is open in (R, Tu)? OR-(Q-Z) OR-)"2n² :ne N} [2,5) O 12,5) U (1, 7)…

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Q: Let A = {2n : n e N}, and B = {n E Z : n² is even}. Neither set is a subset of the other. O AC B. O…

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Q: 11. For all sets A, B, and C, AN (B-C) C (A N B)– (A N C).

A: We use basic formula of set theory like A – A = Ø  B – A = B⋂ A’ B – A = B – (A⋂B) n(AUB) = n(A – B)…

Q: Which of the following are disjoint sets?* B.(1,2,3) and (2,3,4) O (1,2,5) and (3,4,5) O (1,3,5) and…

A: Topic:- set theory If the two sets A and B are disjoint then they have no elements in common that is…

Q: Is {1, 3, 5} a subset of the set of odd integers?

A: {1, 3, 5}

Q: Consider the following sets: U= {set of integers} A = {3, 6, 9, 12, 15, 18} C= {3, 6, 9, 12} E ={3,…

A: Note: If a set contains n number of elements then, total number subsets of a given set = 2n 1) given…

Q: Which of the following sets is closed in (R, Tu)? O a. { ne N}U{2} 72 2n O b. Q-N c. O c. [2,5) U…

A: Determine the meaning of ℝ, τu. Now, go with each option and check which is correct.

Q: Which of the following could be considered as NOT an equal set? B = (x : xe Z, -3 < x 0}; C = {0,…

A: Equal sets are the two sets having same element.

Q: Q2) Let A = {1, 2, 3, 5} and B = {-1,0,1,2,3,4, 5, 6} be the two sets. Draw A and B on Venn diagram…

A: Given,          The two sets are A=1,2,3,5 and B=-1,0,1,2,3,4,5,6.

Q: Let S = {(x, y) E R X R: y - x = integer} List of four members of [-3]

A: GivenS=x,y∈IR×IR: y-x=Integernow-3=x∈IR: -3-x=Integernow, 1∈IR,2∈IR , 3∈IR and 4∈IRso the four…

Q: Consider the following sets: U= {set of integers} A= (3, 6, 9, 12, 15, 18) C= (3, 6, 9, 12} E=(3, 9)…

A:

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

A: To finds sets that spans R3

Q: Which of the following sets are equal? A = {b, g, j} B= {x, y} C= j, g, b} D= {x|1sx<3 and xEN} J=…

A: Here, A = {b, g, j} B = {x, y} C = {b, g, j} D = {1, 2, 3} J = {0, 2, 4, 6, .....} K = {6, 8, 10,…

Q: Which of the following is an empty set? O set of cars with 10 doors OA-(tiger, lion, puma, cheetah,…

A: We have to find empty set from given options.

Q: (3.2) Indicate which of the following sets are compact in X. (a) C = {4,n € N}, X = R (b) C = Qn (0,…

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

A:

Q: Which of the following statements is true OA. For all sets A, B and C, A- (B –C) = (A - B) -C- O B.…

A: Option B and E are correct.

Q: 2. Consider the following relations on the set of integers: R1 = {(a, b) | a b}, R3 = {(a, b) | a =…

A:

Q: Is {2,2}={2, {2} }? How many elements are in the set {a,a,a,a,a}? {x€N|xis greater than 10 and x…

A: First we have to check 2,2=2,2. Here in set 2,2 2 is the element but in 2,2 2 and 2 are the…

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: 13. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…

A: Given that U=-5,-4,-3,-2,-1,0,1,2,3,4,5 A=x:x2=25 B=-5,0,1,2,3,4,5 C=x:x2-5x+6=0 We have to find A∩B

Q: 3. Find the number of elements of the set P= {n|n E Z, 1<n< 400, 3 Xn and 7 n and 13 n}.

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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: Decide, among the following sets are subsets of one and another: A={x:x ER and x satisfy : x - 4x +3…

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Q: Consider the set M = {x/x is a positive integer, 1< x < 5}. Which of the followin is TRUE? * A. M =…

A: M=x/x is a positive integer,1&lt;x&lt;5M=2,3,4 The correct option is D) 1∉M

Q: Which of the following is the correct representation of A = (2,4.8.16,32. in set puilder notation?"…

A:

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”.