5. Let S be a set of negative numbers. Prove the least upper bound of S cannot be positive.

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A: We have to find the value of 173/4 using the mean value theorem.

Q: @ In a G Survey the 100 out-patient who reported at a hospital one dey, it was found out that 70…

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

Q: 2, Choose give Single digit positive in te gor f them' and the mean me

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Q: Let (A, 3) be a poset, and let BC A. Prove that B has at most one greatest lower bound.

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Q: A string of Lcoincides with the interval 0, L

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Q: bag of 330 chocolate​ candies, 34 of them are brown. The candy company claims that ​13% of its plain…

A: Formula : Significantly low value = u - 2 * σ

Q: 8. In a university examination, which was indeed very tough, 50% at least failed in "Statistics",…

A: P(failed in Statistics) = 0.50P(failed in Topology) = 0.75P(failed in Functional Analysis) =…

Q: Let n be a positive integer and let R = {a1, a2, a3, ..., numbers for i = 1,2,...n. Prove that R has…

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Q: Consider the set T = {..., −34, −17, 0, 17, 34, ... } with the usual definition of less than (a0).…

A: Completeness property of real numbers:  Every non-empty set of real numbers that has an upper bound…

Q: Indicate the least upper bound of the following sets. If a set does not have a least upper bound,…

A: We have to find the least upper bound of the given set.

Q: Fuppose that the relation R indicates whether c articular student is registered for a particular c…

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Q: Write down the following, if they exist (a) all minimal elements (b) all maximal elements (c) all…

A: Maximal: If in a POSET an element is not related to any other element. Minimal: If in a POSET no…

Q: Let S = {1,2,3,4,6,8,9,12,18,24} with the relation "x divides y". Which one is false? 1. O Tidak ada…

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Q: Let feC-2,2], fo-o. Prove that Max -2

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Q: (c).Prove that set of real numbers E is closed and bounded if and only if every infnite subset of EE…

A: According to the given information, it is required to prove that:

Q: Find the interval of En=o 2"(z – 3)" O (3.5, 0) O (2.5, 0) O (2.5, 3.5) O (2, 3)

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Q: Find a set of 3 points in S' so that dcos does not satisfy the triangle inequality.

A: The sine distance between two points x,y∈ℝ2 is defined as: dsinx,y=x.yxy and the cosine distance…

Q: 4. Let R be the relation in the positive integers

A: 4. Given, R be the relation in the  positive integers ℕ defined by                        R=x, y: x,…

Q: A is a subset of the real numbers, R.

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Q: Suppose the set of natural numbers is constructed by the constant 0 and the successor function s.…

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Q: Find the interval of En=0 2" (z – 3)" O (2.5, 3.5) O (2, 3) ( (3.5, 0) O(2.5, 0)

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Q: Suppose that N+ 1 balls, of which a+b+1 are red and N-a-bare blue, are arranged in a linear order in…

A: From the given information, There are N+1 balls, of which a+b+1 are red and N-a-b are blue arranged…

Q: 4) The relationk onthe Selof real numbers Risa partialorder relation.

A: relation R on a set A is called a partial order relation if it satisfies the following three…

Q: IL Determine the Absolute V'alue of the following 6.-3 7-13-8) 9. 0-7 10. 9 11. 81-9 12. 43 13.-17

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Q: The relation by a = b (modn) is Partial Order Relation Ture O False O

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Q: Show {5, 10, 15, 20, - - ·} is countable. (Hint: Use the function f(n) and onto). = 5n and show it…

A: 4 Given set is 5,10,15,20,....... We have to show that the set 5,10,15,20,...... is countable. Let a…

Q: 4. Give example of a non-measurable subset of R. (witheut Proef) an

A: Second question is independent of the first question. As per the guidelines I am answering the first…

Q: Con sider Sam ple X,, X2,.., Xg from a NC8,4). Find the Coverage Probabilit a of interval [x-2, +2].

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Q: 3. What are the restrictions on x?

A: It is known that side length cannot be negative. This implies that, 3x+2&gt;03x&gt;-2x&gt;-23 First…

Q: tind the east uprer bound of the set A ntl nE INZ in Q. Prbue that this vaue iS an upper bound and…

A: According to the given information, It is required to find the least upper bound of the given set.

Q: Let S be an nonempty open connect subset of R^2. What is the number of possible continuous onto…

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Q: 1. Prove with the resolution calculus -(PA-Q) -P (RAS) VQ

A: To prove with resolution calculus: ¬P∧¬Q         ¬¬P__________R∧S∨Q

Q: 5. Show that the set {e" : n e Z} is countable. (Hint: Use the function f(n) = en and show it is 1-1…

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Q: jim has precisely 150 followers. and, all 150 people who follow jim have precisely 150 followers. In…

A: Given that Jim has 150 followers and a follower of Jim follows Jim and 149 others. Let the set S is…

Q: (c) Suppose n = 5 and m = 4, determine the number of onto functions from A to B.

A:

Q: Use the inequality f(a) – M(b – a) < f(b) < f(a) + M(b – a) which is a result of the Mean Value…

A: Given, fx=x34 in 16,17f17=1734 f16=1634 =8 Then, by mean value theorem…

Q: EX Find theno of letter strings of length H that contain the letter y exactly 3-himes and contain…

A: Total number of letters = 26 Letter y can occur only thrice. Letters m,b,t,k can occur only once.…

Q: let t={usx8 x-uiscoantableiuioi then Tis called Tcof

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Q: in extension of a fie elements in K which ver F from a subfie

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Q: ind the all possible number of different multi sets of size '4' from -element set, in which at least…

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Q: Show that the number of planted plane trees on n vertices, m of which are leaves (that is, have zero…

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Q: Indicate the least upper bound of the following sets. If a set does not have a least upper bound,…

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Q: 5. (a) How many functions are there from a set with n elements to a set with m elements?

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Q: 20. Give two examples of functions from Z to Z that are one- to-one but not onto.

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Q: Define with proof Chebychev Inequality

A: Introduction: Suppose X is an integrable random variable with probability density function, f (x),…

Q: In a bag of 350 chocolate candies, 37 of them are brown. The candy company claims that 13% of its…

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

Q: ntin

A: It is given that,  If g is continuous and ∫-28g(x)dx=30 We have to find ∫-144g(2x)dx=?

Q: Prove that √2+√5 is irritational

A: