If A = {(1,1), (3,0.4), (4,0.2), (5,0.8)} and B = {(2,0.2), (3,0.2), (4,0.5)} are the fuzzy sets defined over the universe of discourse x = {1,2,3,4,5} Find the following terms:- 1. Complement of A and Complement of B 2. Union 3. Intersection 4. ANBº and Bn A°

Q: A. Compute 1. p = 0.2, p = 0.18, n = 50 2. p = 0.8, p = 0.72, n = 160 3. the z for each given claim…

A: The given data is 7) p=0.3, p^=0.4, n=608) p=0.12, p^=0.1, n=499) p=0.53, p^=0.54, n=10010) p=0.28,…

Q: The Boolean sum of the variables z, y and z or their complements, that has the value 0 if and only…

A: Given x=0y=1z=1 Thus yc = 0zc = 0 We know that  a+b = 0 if and only if both a and b are zero

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

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Q: (ii) for every singleton set A, m* (A) = 0.

A:

Q: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: 2. Use the set builder notation to give a description of each of the following sets: 1 2 3 4 5 2'3'…

A: Given

Q: Given that U = {1,2, 3, ..., 18, 19, 20} А 3 {2, 5, 7, 9, 11, 12, 13, 14, 15, 16, 17, 18} В 3 {1, 2,…

A: Given:…

Q: Let A = {2. 3. 5}, B = {4. 5. 6. 7}, and C = (1. 2. 3. 4. 5} be sets. Show that a) (A ∪ B) ⊆ (A…

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Q: Identify all possible proper subset relationships that occur among the following sets. A = {3n + 1|n…

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Q: Below are two sets, one of all presidents of the United States and one of all veeps (vice…

A: The given two sets are: presidents ={'George Washington', 'John Adams', 'Thomas Jefferson', 'James…

Q: Find S ∩ T, (S ∩ T)c, Sc ∩ Tc, S ∪ T, (S ∪ T)c, and Sc ∪ Tc (1) S ={x |x2 > 4}, T = {x |x2 < 9}

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Q: Prove that at a party where there are at least two people, there are two people w know the same…

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Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8}. (Enter your answers as a…

A: First we write {x | x W and x &lt; 4} in roster form.  Note: W=whole number.

Q: Let A, B, and C be non-empty sets. Then A×B×C=A×C×B if and only if*

A: Let us consider four set A , B, C and D then AxC=BxD if all the elements of A are same as all the…

Q: Show every possible 1-1 correspondence between the following sets. {a, b, c} and {1, 2, 3}.

A: Possible 1-1 correspondence between two sets

Q: Determine whether the set S = {1, x², 6 + x²} spans P2. S spans P2. O s does not span P2.

A: P2 is the vector set of all polynomials with real coefficients of degree 2 or less. So 1+x is an…

Q: Let A = {1,2,3,4,5,6}, how many different relations are there on a set A?

A: First, we need to know definition  of the Cartesian Product of a set is with itself. The Cartesian…

Q: A and B be subsets of a universal set U and suppose n(U) = 400, n(A) = 200, n(B) = 160, and n(A N B)…

A:

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: Let A, B, and C be non-empty sets. Then A×B×C=A×C×B if and only if

A: A, B, C are three non empty sets,  And, it is given that A × B × C = A × C × B

Q: Use set builder notation to give a description of each of these sets 1 (Ben, Aiden, James, Derrick)…

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Q: Show every possible 1-1 correspondence between the following sets. {A,B} and {a,b}

A: The solution are next step is

Q: For parts (a)-(d) below, let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} be the universal set. Let C = {1,…

A: Topic:- set theory

Q: Find the following sets: U= {1,2,3,4,5,6} S = {2,4,6} T= {1,2,4} V= {4,5,6} 33. S U (T ∩ V)…

A: As per our guidelines we can help you in solving only first three subparts, Rest of the problems you…

Q: Which of the following statements is true regarding the following four sets: A = Infectious diseases…

A: Diseases given in set B belongs to infectious diseases i.e. set A. Diseases given in set C belongs…

Q: Let A {1,3,5, ... }, then A is well- ordered.

A: Here we have given a set A ={1,3,5,  ...}

Q: If S and T are two sets such that S has 21 elements, T has 32 elements, and   S ∩ T has 11 elements,…

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 7}.  (Enter your answers as a…

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Q: Suppose A={-1, 0, 4}.Find a set B such that A is equivalent to B.

A: Two sets A and B are said to be equivalent to each other if both the sets A and B have same number…

Q: 8. Give an example of each of the following : (a) a set which is a nbd. of each of its points, (b) a…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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: Suppose a family contains two children of different ages, and we are interested in the gender of…

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Q: Out of 45 students, 33 students are taking English and 15 are taking a French class. 7 students are…

A: The following is the Venn diagram of the given data.   The total number of students is, nG=45. The…

Q: 2.) Suppose A is a set with 4 elements and B is a set with 3 elements. How many relations are there…

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

A: We have to find Cartesian product of part (c) and part (d)

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (Enter your answers as…

A: First we write {x | x N and x &lt; 6} in roster form. Note: N=set of natural numbers

Q: Use the Venn diagram shown to list the set (B nC)'in roster form. U 1 B 6 7 12 A 3 4 C 10 11 15 13 8…

A: Solving the problem by finding the roster form.

Q: Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 27, n(B) = 29, n(C) =…

A: A set is the mathematical model for a collection of different things; a set contains elements or…

Q: Let S = {1,2,3,4}. Determine the set {A € P(S) : |A| = 2 }.

A: Let S = {1, 2, 3, 4}

Q: (b) Suppose that X,Y and Z are subsets of {1, 2, 3, . . . , 10} and |X| = |Y| = |Z| = 7. Deduce that…

A: Given X, Y and Z are subsets of 1, 2, 3,.......,10. Cardinality X=Y=Z=7. To prove that X ∩ Y ∩ Z is…

Q: Let A, b,, and b, be as defined below. 、目、 [1 2 -1 -2 2 0 2 3 -2 -3 4 0 A= |1 2 2 3 17 2 04 2 3 06…

A: As per bartleby guideline for more than three sub parts asked only first three are to be answered…

Q: If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements,…

A: Given that n(X ∪ Y)= 50  n(X)= 28 and n(Y)=32  We have to find n(X ∩ Y )= ?

Q: 6. Draw a Venn diagram illustrating the relationships between these sets. 1. Be U's 1, 2, 3, 4, 5,…

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

Q: Given that U={1,2,3,...,18,19,20} A={1,2,3,4,7,8,9,10,13,14,15,18,20}…

A: Find the sets asked.

Q: 2. Let S be the set [9]: (1.2.9). (c) List 5 derangements of S having 2 in the 3rd position and 5 in…

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Q: 12 patients have fever, 6 patients have colds, 15 patients have headache.  1 patient has all three…

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

A: we need to find (x,y) such that  y-x=-3 where x∈R and y ∈R so some of the possible values of the…

Q: 2. Let A = {1,2,3, 4, 5, 6} and ), P2 3 4 5 3 4 5 2 3 4 5 1 5 1 2 (1 2 ). P3 3 4 1 2 6 2 3 4 5 4…

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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”.