Use the set-roster notation to indicate the elements in each of the following sets. a. S= {nE Z |n = (-1)“, for some integer k}. b. T= {mE Z|m= 1+(-1)', for some integer i}. c. U = {rE Z|22 or s < 3} e. W = {tE Z|1 1}

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Q: Use the set-roster notation to indicate the elements in each of the following sets. a) S = {n ∈ Z|…

A: (a) Given that, S = {n ∈ Z| n = (−1)^k , for some integer k}. It is known that, (-1)k = 1 if k is…

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Q: 2. Let A = {r|x is older than 25}, B = {y|y_is older than 50}, C = {z |z is between 20 and 30}. Draw…

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Q: 2. Determine the cardinality of the following sets. (a) {2x :1<x < 16} (b) {N} (c) {0,2 – 1, V4, ø,…

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Q: 7. Use the set-roster notation to indicate the elements in each of the following sets. a. S = {n ∈…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: I. Write each of the following sets by listing the elements. 1. A={ne Z: n²-n-2<0}; 2. B = {z ER: 2³…

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Q: Part B please

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Q: M={all numbers of the form 2^n , for n is a natural number} is the set closed under addition?

A: It is given that, M={all numbers of the form 2n , for n is a natural number}   Note that, a set is…

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Q: Q 3 Prove or disprove each of the following: For all sets A, B and C, (а) (А — В) — О%3 (А- С) — В

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Q: 1. Suppose that A = {r:x €N and r is even}, B = {r:x €N and r is prime}, C = {r :x €N and a is a…

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Q: 4) Let A and B are two sets as given below, show that A = B. A = {m EZ| m = 2a for some integer a}…

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Q: 3. Are the following sets countable or uncountable? Justify your answer with a proof. (a) {2" |n e…

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Q: 2. For each of the following sets, determine whether each of these statements is true or false.…

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Q: 4) Consider the following sets: A={x/x³-x²-2x=0) B= (y/y is prime between 1 and 11) C= {z/z is non…

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Q: Use the listing method to express the set S = ((1,3] x {2,4}) n z².

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Q: Consider the following sets: A = {all prime numbers less than 12} B = {all positive even integers…

A: We will write the sets out in Roster method and then answer the following:

Q: 2. Let A = {r | r is older than 25}, B = {y |y _is older than 50}, C = {z | z is between 20 and 30}.…

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Q: For numbers 12-15, consider the following sets, with U = N; that is, the universal set is the set of…

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Q: Define sets A and B as: : {n E Z\n = 4r + 3 for some integer r}. • B= {m E Z m = 4s – 1 for some…

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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: The supremum of the set S={1- (-1)". :neN is a) 1 b) 0 c) п d) 2

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Q: (3.2) Indicate which of the following sets are compact in X. (a) C = {4,n € N}, X = R (b) C = Qn (0,…

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Q: 2. For any n E N, let G, denote the interval (-). Prove that each G, is an open set in R and each G,…

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Q: a Are ALL the following three pairs in the relation R: (4.2) (1,2) (5,1) b Is 4 a minimum element?…

A: R=4,21,2,5,1a. (1,2) is not the element of R because from Hass diagram 2 is related to 1    here…

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Q: Use the set - roster notation to indicate the elements in each of the following sets. V = {s ∈ Z| s…

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Q: Which of the following is a lower class boundary of the class interval '15.5 - 25.5? O a. 15 O b.…

A: Answer ; Option A is correct a.15