Which among the sets is open? [0,1) (0...1/n.....1/3,1/2,1} R\[a,b] None of the above.

Q: b.) Show that if a and b are positive integers where a is even and b is odd, then (a,b) = (a/2, b).…

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Q: Ex: Let X₂ [1,2,3,4,5]. I. [0,X, [1], 82.3, 81.23], Y. [3,4,5,6,73 andl T₁: [0, X, [4], [4,633 if A:…

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Q: (2c) Prove or disprove the following statement: “ A UBCANB for any A and B "

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Q: Simplify Z = [(PNR) u ā] n (PU Q) n P - R using set identities Q]

A: Set Identities:-Commutative law:- A∩B=B∩A  and  A∪B=B∪AAssociative law:-   A∩(B∩C)=(A∩B)∩C  and…

Q: en P(x >4|X

A: Given : Probability,p = 0.5 number of trial,n = 7 Let x be the random variable that…

Q: Ex. Show that [b, c) ~ [a, o), where a, b, c ER and b< c. [H7-9]

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

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Q: Which of the following sets is uncountable ? Select one: O a. {EN||x − 7| > |x|} O b. R\Z O c. 2Z x…

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Q: Which of the following set is empty a. {x: x = x} b. { x : x != x 2 } c. { x : x ! = x } d. {x:…

A: Empty set:            The empty set is the unique set having no elements. and its cardinality is…

Q: Question 1. 1. Use the operations in o-algebra, such as union, intersection, difference, countable…

A: Using the operations in σ-algebra generate the following intervals from intervals of the form a,∞,…

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: Express the following invertible matrix A as a product of elementary matrices: You can resize a…

A: The given matrix is: A=-300010-180-2 Reduce the matrix to identity matrix form by performing…

Q: (2b) Let A and B be sets. Prove that A – B is disjoint from A n BC LA O BE

A: The set A∩B is defined as A∩B=x|x∈A and x∈B The set A-B is defined as A-B=x|x∈A and x∉B Two sets are…

Q: . Show that sup{3 – 2 : n = 1,2, ...} = 3. %3D

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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 sets is uncountable ? Select one: O a. { // | n = Z\ {0}} O b. {x EN||x − 7|…

A: Definitions: A set is said to be countable if it is finite or there is a bijection with ℕ.…

Q: Q13: Prove or disprove the following: (AUB) - C = (AUC) - (BUC) where A; B; and C are sets.

A: Q13.   The given statement is false.  Counterexample :    Consider   A = { 1, 2, 3 }…

Q: (4.1) For sets A and B. prove that P(AB) = P(A)~P(B).

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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