Give a recursive definition for the set S ={4,7,10,13,16,19,.}.

Q: List all the subsets of the set                   { –1, 0, 1 }.

A: All subsets of {-1,0,1} is:

Q: S be the universal set, where: = {1,2, 3, ..., 18, 19, 20} sets A and B be subsets of S, where: ||…

A: Given, Let S be the universal set,  S={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20} Set…

Q: Choose any that is a subset of the set S={10, Ø,{{ Ø}}} 0{0} {(Ø), 10) 0 {{0}}

A: Solution

Q: that apply.) (a)     A = ∅ ∅ {1} {2} {3} {4} {1, 2} {2, 3} {3, 4} {1, 3} {1, 4} {2, 4} {1, 2, 3}…

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Q: Select the collection of sets that forms a partitic

A: Introduction: A set of disjoint subsets of another set. The original set must be equal to the sum of…

Q: 2. a. List all 3-combinations for the set {x1, x2, x3, X4, Xs}. Deduce the value of (,). b. List all…

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Q: Let U = {4, 5, 6, 7, 8, 9, 10}, and A = {4, 5, 6, 7}. List all the members of the given set.  Ā

A: Given , U = {4, 5, 6, 7, 8, 9, 10} A = {4, 5, 6, 7} Ā =?

Q: Let S = Span}( 3 2 3 . Show that dim(S)=2. 3

A: Basis: Let V be a subspace of ℝn. A basis of V is a set of vectors v1, v2, ..., vm in V such that:…

Q: 1: Select TRUE if the two words are a minimal pair and FALSE if they are not. "their - there" 2:…

A: According to our guidelines, we can answer only the first question, the rest can be reposted.…

Q: The set of elements common to both set A and set B is called ----------------- the of sets A and B,…

A: Sets are basically a collection of well defined and distinct objects. These objects can be anything,…

Q: Let U = {-5, –4, –3, -2, -1,0, 1, 2, 3, 4, 5} be the universal set, and let A = {-5, -4, -3, -2,…

A: Note:- In given problem, notation used for sets are different in information and problem (sub…

Q: Consider the poset ({2, 4, 5, 10, 20}, [). What are the upper bounds and lower bounds of (5, 10}?…

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Q: Write down the non-empty proper subset of the set {a,b,c}. Make sure to use correct notation…

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Q: Let A= {1,2,3,4,5,6} and B={2,4,6,8}. what is the cardinality of A ∩ b?

A: Cardinality of a intersection

Q: 5. Give an example (by words) for a collection of objects which is not well defined

A: Given, We have to write an example for a collection of objects which is not well defined.

Q: Let the universal set U = {1,2,3,4,5,6,7,8,9,10,11,12}. Suppose that if the i. bit is in the set i,…

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Q: Let S = { (0,0), (0,3), (1,0), (1,2), (2,0), (3,2) } Find S', the transitive closure of S

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Q: n to show the set.

A: Part which in E and D or not in B   Part which is in A and B and C

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

A: Given that Jim has followers 150 in number. Also, each follower of Jim follows Jim and 149 others…

Q: Describe the set {TER²: doo (r,(0,0)) = 1}.

A: Given: Set x∈R2:d∞(x,(0,0))=1 We have to describe the set.

Q: Assume that the set S has 13 elements. How many subsets of S have at most 4 elements?

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Q: List all the subsets of the set {I, D, E, A}

A: Answer -Find the list of all the subsets of the set {I, D, E, A}

Q: select the description that characterizes the Boolean expression

A: A boolean expression is CNF (Conjunctive normal form) if it is a product of sums. And, a boolean…

Q: Assume that the set S has 7 elements. How many subsets of S have at most 3 elements?

A: Consider that  the set S has 7 elements. The subsets can have 3 elements, 2 elements, 1 element, and…

Q: The set {......., -4, -3, -2, -1, 0, 1, 2, 3, 4, .....} is called the set of -------------.

A: Numbers are constructed by first starting with 1. Then all numbers which can be written as sum of 1s…

Q: 1. Give at least 5 pairs of numbers a and b. For each of those pairs find at least 10 elements of…

A: We need to find at least 5 pairs of numbers a and b. For each of those pairs  at least 10 elements…

Q: Find the complement of the set given that  U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.  (Enter…

A: We have to find the complement of the set {x | x∈N and x < 9} given that U = {0, 1, 2, 3, 4, 5,…

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: is this a fucntion or not. given its domain and range   {(1,1), (2,2), (3,3), (4,4)}

A: This is a function.

Q: Given the universal set 8 = (0,1,2,3,4,5, 6,7,8, 9, 10, 15, 17, 18, 19,20), !! Then compute the set…

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Q: Give a recursive definition for the set of all binary palindromes, that only '0's and 'l's that are…

A:

Q: Define a set of which both {1, 3, 4} and {0, 3, 5} are subsets. Find such a set with the smallest…

A: {0,1,3,4,5} is the smallest set that contains {1, 3, 4} and {0, 3, 5} as sub-sets.

Q: Describe the set {TER²: doo (r,(0, 0)) = 1}.

A: To Describe: the set {x∈ℝ2: d∞(x,(0,0))=1}.

Q: Find the complement of the set given that U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}. (Enter your answers as…

A: First we write {x | x N and x < 6} in roster form. Note: N=set of natural numbers

Q: Which set has a domain of (2, 3) and a range of (5, 8}? O (8, 3). (8, 2). (5, 2)} O (5. 8). (2, 3).…

A: We require to find  That domain include {2,3} Codomain (range) include { 5,8}

Q: a) Suppose that the universal set is U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Express each of these sets…

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Q: how many the different Boolean functions of degree 3?

A: For Boolean functions of degree 3, that is, for 3 Boolean variables, there are 23 = 8 because for…

Q: A set has 9 elements. How many subsets of S are there with at most 2 elements?

A: Given,            A set has 9 elements. Subsets of S are there with at most 2 elements.

Q: What is the cardinality of the set {1,2,3,4,3} ?

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Q: Find the mode(s) for this lists of numbers.    9 12 16 19 23 30 30 55 60 69 79 Mode =  3 4 14 21…

A: The value of 30 occurs twice in the data set. Hence the mode

Q: The congruence class of [6]5 is {...-9,4,1,6, – 11...} {...-9,-4,–1,6,11...} {...-9,-4,1,6,11...}…

A: We have to find the congruence class of 65. The congruence class of 65 is the set of all integers…

Q: Let S={1,2,3,4,5,6} How many subsets are there of cardinality 4?

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Q: ind the complement of the set given that  U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.  (Enter…

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Q: {r, e, v, o, I, u, t, i, o, n}_ _{t, o, I, o, v, e, r, u, i, n} {r, e, v, o, I, u, t, i, o, n} V {t,…

A: Here use definition of proper subset

Q: State the cardinality of -1,-2, 3,6,7, 12

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Q: Let S = {0, 1}.  List all the strings of length 4 over S that contain three or more 1's. (Enter…

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Q: Which elements of the poset ({2,4,5,10,12,20,25}, |) are maximal, and which are minimal?

A: Draw the Hasse diagram to the given partially ordered set 2,4,5,10,12,20,25 by using the…

Q: Write the universal set (U) for the following: X= {1, 3, 7, 8, 9} Y= {0, 1, 3, 9} Z= {2, 5, 8}

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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”.