Every fuzzy set A can be expressed as the union of all the fuzzy points which Belong to A O Non all them O Not belong to A

Q: I. Let U = {-2, -1,0, 1, 2, ..., 10}, A = {a € U : a is even}, B = {b e U : b is odd}, C = {c € U:c…

A: As per the instructions we will be solving only the first three subparts. Let U = { -2, -1, 0, 1, 2,…

Q: I Let A = {1,3,5,7}, B = {1,2,3}, C = (6,7} and suppose the Universal set is U = {1,2,3, ..,7}. List…

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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: prove for every two sets A and B that A=(A-B)U(A n B)

A: To prove: We want to prove  for every two sets A and B that A=A-B∪A∩B

Q: list all the subsets of  {1,2,∅}   and {{R}} R= real number

A: Number of subsets of a set with n elements is 2^n

Q: Let U={1,2,3,4,5,6} be the universal set and A-{2,4,6}. Then the power set of the complement of U…

A: Given that  U={1,2,3,4,5,6} and A={2,4,6} To find The power set of the complement of U.

Q: Let A be the set A-(1, 2, 3} The binary relation R={(1,2), (2,1), (1,3), (3,1), (1,1), (3,3) }…

A: Given: A = 1, 2, 3 and R = (1, 2), (2, 1), (1, 3), (3, 1), (1, 1), (3, 3).

Q: Jive R² which are example of two subsets homeomorphic. not C specify the set explicitly) g

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Q: Let U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14} be the universal set. Let A = {2,3,4,5,6,7,8,9,10}. II.…

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Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

A: We have to prove the following -   T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set.

Q: Let the Universal set be U = (1, 2, . 20), A= (1,6.11,19) and B = (6, 11, 14, 7) f(A - B) (1) = (A5…

A: Since you have posted multiple questions. I am answering the three parts. Please post the question…

Q: II. Let Q-set of all real numbers, A-index set. Identify the generalized union and intersection of…

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Q: How many symmetric relations on the set A = {1,2, 3, 4, 5, 6, 7, 8} contain the ordered pairs (2,…

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Q: Statement (11, 13, 15) Z (11, 12, 13, 14, 15} (7,9} Ø {c, d, f, g} = {d, fr (q, r, w) C (q, r, w}…

A: Introduction: Set A is said to be a subset of Set B if all the elements of Set A are also present in…

Q: 1. Solve the equations below. Show your work. a.) x2 – 14x + 45 = 0 b.) 3x2 – 2x - 5 = 0

A: As per our company guidelines we are supposed to answer only one question kindly post other question…

Q: A fuzzy set B is closed if and only if B contains all the accumulation point of B. accumulation…

A: Option-A is correct.

Q: Let U= {1,2,. 1} be the universal set. Let A={x|x eU,x is a multiple of 6, B={x\xeU,xis a multiple…

A: Given: U={1,2,...16} A={x|x∈U, x is a multiple of 6} B={x|x∈U, x is a multiple of 5}…

Q: Obtain the 16 relations of the set {0,1}, indicate which of these are reflexive, symmetric and / or…

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Q: Q.No.2 Let X be a universal set and A, B be the subsets of X.Then prove the following. (a) ((A*…

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Q: Let U= {1, 2, …9} be the universal set and let A= {1, 2 , 3, 4, 5} and C= {5, 6, 7, 8, 9} and B= {1,…

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Q: U=(4,5,6,7,8,9,10,11,12,13,14,15) U is the Universal set. A=(x)x is a natural number and 9 ≤x

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Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A= {2, 3, 5, 8} B = {1, 3, 5, 7, 9} C = {3, 5} D is a set containing…

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Q: Let T: R³ –→ R³ be a linear transformation, and suppose that (8) (E) T – 2T =T 1

A: Here, given that: T110-2T011=T001...(1)

Q: For non empty binary relation R={(a, a),(a, b),(a, e),(b, b),(b, e),(c, c),(c, d),(d, d).(e, e)} on…

A: According to the given information, it is required to check which of the following is true:

Q: Let A = {1, 2, 3} and B = {2,5} be two subsets of a universal set U {1, 2, 3, 4, 5). Compare (AUB)…

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

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Q: 2. Let A = {0,2,4,6,8} and B = {1,3,5,7} have universal set U = {0,1,2,…..,8}. Find: (a) Ā (b) В (d)…

A: 2. Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…