QUESTION 8 Use braces to write the members of the set, or state that the set has no members. The positive-integer powers of 3 O {3, 6, 9, 12, 15, .. .} {1, 8, 27, 64, 125, . . .} O {1, 3, 9, 27, 81, 243, .. .} {3, 9, 27, 81, 243, .. .}

Q: Define the following sets: A = {3,4,5,7,9,10,13,14} B = {1,2,3,5,7,8,9,14,15} C =…

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Q: Define the following sets: A = {1,3,7,9,10} B = {2,5,7,8,9,10) C = {0,1,3,10} D = {2,4,6,8,10) E =…

A: Given, D={2,4,6,8,10} E={x\x is negative natural number} That is E={-1,-2,-3....} Therefore…

Q: Suppose the universal set is the set of natural numbers N. Consider the sets A = {1,2, 3, 4, 5, 6}…

A: We will answer the first three questions as per our guideline. Please resubmit the other questions…

Q: Let J={1,2,3,…}, the set of counting numbers and let R be the set of real numbers. Is R-J countable?…

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Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: Let U = {3, 4, 5, 6, 7, 8, 9, 10},  A = {4, 6, 8},  B = {3, 4, 7, 10}, and C = {3, 5, 7} . Find the…

A: It is given, U= {3,4,5,6,7,8,9,10}.

Q: a. Let X = {a, b, c}, Y = {a, c, b}, and Z = {a, b, b, c, c, c}. What are the elements of X, Y, and…

A: # we are entitled to solve one question at a time. Please resubmit the other questions of you wish…

Q: Define the following sets: A = {1,3,7,9,10) B = {2,5,7,8,9,10) C = (0,1,3,10) D=(2,4,6,8,10) E = {x:…

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Q: Let U = {0,1,2,3,4,5,6,7,8,9,10}; A down the elements in the following sets. (a) AUB (b) BUC (c) BC…

A: Let .To write the down the elements  in the following sets.Note: Since, the student has posted a…

Q: If A = {x | x is an odd integer}, B= {x|x is an even integer}, C = {2, 3, 4, 5}, and D = {13, 14,…

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Q: QUESTION 6 Use braces to write the members of the set, or state that the set has no members. The…

A: We use the Roster form representation of a set to answer the given question.

Q: y = - 1.5 cos (3x -90) +0.5   what is the    a) period  b) amplitude  c) the phase shift

A: Since you have uploaded multiple part questions according to our guidelines we have solved the first…

Q: QUESTION 17 Use braces to write the members of the set, or state that the set has no members. The…

A: Given that  The integers between 2 and 6(not inclusive).

Q: Show that the set {2/3,1/3,2/9,1/6...} is countable

A: Given set of numbers{2/3, 1/3, 2/9, 1/6...}. Here, this set of rational numbers will be proved as…

Q: 30-35. Given L = {0, –2,2, –1,2,3, –4,1, –3} A = {-100, ... 99, 100, .. 201} B = {3,2,1,6,5,4] Write…

A: The given sets are:L=0,-2,2,-1,2,3,-4,1,-3A=-100, . . . , 99, 100, . . . , 201B=3,2,1,6,5,4We have…

Q: Let U={−6,−5,−4,−2,0,1,2,3,4}, E={−6,−4,−2,4}, F={−4,−2,0,1,2}. and G={−6,−5,1,2,3}. In each of the…

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have…

Q: The elements of P({a, b, {a, b}})= 10, * .where a and b are distinct elements true False O

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Q: Let S={1,2,3,4,5,6,7,8,9,10,11}   How many subsets contain at least one odd number?

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Q: Show that the set W of all whole numbers, W = {0, 1, 2, 3, . . 3, and N = 11, 2, 3, 4, . . 3 are…

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Q: Show that the N and the set {1,3,7, 15, 31, . . } have the same cardinalit

A: To show N and the set S= {1,3,7,15,31...} have the same cardinality, we need to show there is a…

Q: Let U = {0,1,2,3,4,5,6,7,8,9,10}; A down the elements in the following sets. (a) AUB (b) BUC (c) BC…

A: Note: According to the guidelines we are allowed to solve three subparts at a time. Please post rest…

Q: I. Let the universal set U {1,2, 3, ..., 10} . Let A = {1,4, 7, 10}, B= {1,2, 3, 4, 5}, and C = {2,…

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Q: Let X = the number of nonzero digits in a randomly selected 4-digit PIN that has no restriction on…

A: We have given that  Let x = the number of non zero digits in a randomly selected 4 digit PIN that…

Q: Given A={2,4,6,8} and B={1,3,5,6}. What is the cardinality of the union of set A and B?

A: Number of element in A union B is 7. Actually in sets we are not writing same element in twice.

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: {1, 2, 4, 8, 9, 10, 16} and Y = {3, 4, 7, 9, 15}, then X ∩ Y is ________. {1, 3, 6, 7} {4, 9} {3,…

A: The intersection of two sets contains the common elements of both sets, i.e., the values in the…

Q: License plates in China begin with a Chinese character designating the province, followed by a…

A: We have 1 character for the Chinese Province which we won't consider as we want only for the case of…

Q: How many subsets are there of the set N = {1, 44, 65, 11, 39, 53, 26}?

A: Given,          The set is N=1, 44, 65, 11, 39, 53, 26We know that,          The number of subsets…

Q: Consider the following sets. U = {1, 2, 3, ..., 10} A = {1,4, 7, 8} {1, 2, 3, 4, 5} C = {6,7, 8, 9,…

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Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.