Consider the following subset S C R 1 -3 S = -2 -10 8 Is span(S) = R*? Explain your reasoning and show work to justify your answer.

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

A: Given that X,Y,Z are subsets of {1,2,3,...,10} |X|=|Y|=|Z|=7. X∪Y≤10 i)X∩Y≥4 X∪Y=X+Y-X∩YX∩Y=X+Y-X∪Y…

Q: consider the following sets: U = {-5,-4,-3, -2,-1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4,…

A: We have to find

Q: De Morgan's law

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Q: B. Illustrate the following sets above in Venn 1. A' 2. BUE 3. FnD

A: Ac =U\A ,where U is universal set. Since the Universal set is not given, Ac can not compute by…

Q: 7. Show that if S x T is a closed subset of R?, then S and T are closed subsets of R.

A:

Q: Given that U = {1,2, 3, ..., 11, 12, 13} A = {1, 2, 7, 12} В 3 3,5, 6, 8, 12, 13} С 3 {1,5, 7, 8,…

A: Explanation: Region I:   2 Region II:  Null Region III:  3,6 Region IV:  1,7 Region V:  12 Region…

Q: What is the largest value of r for which N(2.2, r) is a subset of S = ( – 5, 3) U (1.7, 4.6) .

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Q: Consider the following sets in the dictionarv order. Determine which of these sets are linear…

A: We know that Linear continuum is a linearly ordered set S of more than one element that is densely…

Q: Which of the following set S is a spans R"? a. S = {(2, 1), (2, 1)} b. S = {(1,2, 3), (3, 2, 1)} c.…

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Q: Show that if S x T is a closed subset of R2, then S and T are closed subsets of R.

A:

Q: For a poset with the following Hasse diagram, consider the set {b, e, f}. The least upper bound of…

A: using the concept of upper bound least upper bound in hasse diagram...

Q: Let X ∼ Bin(n, p), and let Y = n − X. Show that Y ∼ Bin(n, 1 − p).

A: Here X follows Binomial with parameters n and p. Here, Y=n-X. Then Y takes the values n-0, n-1,…

Q: 2. Show using Venn diagrams the following are true: a) (A – B) C A b) An(B – A) = Ø

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Q: C. Suppose that P and Q are points so that 0 < PQ < a. Prove the following claim: PQ C PQ C PO Note…

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Q: Consider the set S = {z E C : |Z| ≥ 2, Re(z) ≥ −2, Im(z) ≤ 2, Arg(z) ≥ 7 }. Z 109 0 (a) Sketch S on…

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Q: Consider the set S = {zeC:0< Re(z) < 2 & 0<Im(z) < 3} What is its interior? {zeC:0<Re(z) < 2 & 0<…

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Q: Consider the collection of sets {Bn : n E N}, such that Vn EN, B, = {x € R : -n <a <n}. Find U B,…

A: We are given, So, B1 = { x ∈ R | -1 ≤ x ≤ 1},       B2 = { x ∈ R | -2 ≤ x ≤ 2},       B3 = { x ∈ R…

Q: Which of the following sets spans R? Select one: O a. s = {(1,2, 1), (0,0, 1), (0, 3, 4)} %3D O b. s…

A: In the question it is asked to find which sets span R3.

Q: Sketch the following sets and find which sets are open, closed, domain and region |z – 1| = |z – i|…

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Q: Given the following sets, what is A U B?  U={x│0≤x≤20}         A={2x│0≤x≤5}…

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Q: Let A, BCR x R defined by A= {{n,m)|n, m € N, 0 < 2m(n + 1) – 3 < 5}, and B = {(1,1), (1,2), (2, 1),…

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Q: Determine whether the following region is closed, bounded, path connected, and/or simply connected:…

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Q: 4. Determine whether or not the following are Reflexive, Symmetric and Transitive. (a) on Z: (a, b)…

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Q: Show that the sete S = {x E R]x = m/3, where m E N with m > 4} is countable

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Q: Consider sets A and B as follows: A = {x € Zx = 8k + 28 for some k E Z} %3D %3D {y € Z[y = 4m for…

A: (i) Let x € A     Then, there exist some integer k such that,               x = 8k + 28…

Q: Let A, and Az be two subsets of R. Show that m. (A, x A2) S m*(A,) m*(A2).

A: To prove: m*(A1 * A2) ≤ m*(A1) m*(A2)

Q: Recall that for a set S, P(S) is its power set. Given two sets S and T, prove that S C T if and only…

A: Let S and T be two sets and P(S), P(T) are its power sets.Power set of a set is defined as the…

Q: Given the following definitions: U= [a, b, c, d, e, f, g) A = [a, c, e, g) B = (a, b, c, d} %3D Find…

A: Given: U=a,b,c,d,e,f,gA=a,c,e,gB=a,b,c,dwe have to calculate A∩B'

Q: Consider the word TORTOISE. Count the number of arrangements of this word (a) such that no two…

A: Consider the given word TORTOISE. The objective is to count the number of arrangements of this word:…

Q: Let S be a 50-element subset of {1, 2, 3,...,87} and let T = {s+11 :sE S}. Prove that SnT+ Ø.

A: This is a question of Set theory, application of the Pigeon Hole Principle.

Q: a) What is the support set of X? b) Write out the PMF of X. c) Compute E[X].

A: Cumulative Distribution function (CDF) : The cumulative distribution function of a discrete random…

Q: distinct arrangements are possible e

A: We have to find out the total number of arrangements.

Q: 1. Let (A, B, C) be a partition of S = and (2) d e A. What can we say about |C|, the size of C?…

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Q: hade in the region(s) that represent the set (AU B)nC' В A

A: Solution of the problem as follows

Q: w that the set S = 3 6. 4 5 ms all of R³ or find an element of R³ not belonging to span(S).

A:

Q: Prove using Venn diagram that An (B U C) = (A n B) U (A n C)

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Q: {S := n(x, y) | 2x + 3y ≥ 12}

A: First we draw the line then find the region.

Q: If AB is a subset  of C,  show that P(C)≥P(A)+P(B)-1. Please show me all of your work.

A: Given that; A∩B⊂C⇒C⊃A∩B⇒P(C)≥P(A∩B)

Q: Which of the following is NOT a subset of 2{a,b} × {a,b} C (b). Ø) C (a,b), (a,b) ) C (a,b}, a) C…

A: Given set

Q: Using the Venn diagram in the figure, specify which region is described by the following statements.…

A: Based on the venn diagram we will select the resulting region for specified statements. Bar…

Q: Prove the following using Venn diagrams: i. An (BUC) = (A N B) U (A nc) ii. (A nB)' = A' U B'

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Q: Let X = R, and M = Ø, then span (M) =

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Q: the following ultimate class frequencies, find the frequencies of pósitive class. (АBy) %3D 738,…

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Q: Write out the subsets A, B,C defined below by listing their elements between braces. A = {x € S : x²…

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Q: Consider the following sets A = {1,2,3.4,5} and B = {2,3.4}. Which of the following is NOT TRUE? * A…

A: The given sets are          A= {1,2,3,4,5}  and B= { 2,3,4} 1)If two sets are said to be joint set…

Q: All of the following assumptions are true about homoscedasticity except that it Select one: O a.…

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

Q: Let A be a subset of R and let c€ R. Explain what it means to say that c is a cluster point of A.

A:

Q: (2) Let S := {1,..., n}. Compute the number of towers of length of the form A1 c A2 c S, where A1 +…

A: A tower of length  set is a basically chain of subsets of different size.

Q: Let C= {[c, d] : –1<c<d< 5} be the family of subsets of R, where [c, d] = {x E R: c< x< d}. (a)…

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Q: Consider the two image subsets. S, and S, shown in the Following figure. For V {1}, determine…

A: Given: