5. Write the set {0, 3, 12, 27, 48, 75 ...} in set builder notation

Q: Let ? = {1, 2} and ? = {1, 2, 3}. List all the elements in the set (? × ?) ∩ (? × ?)

A: A = {1,2} and, B = {1,2,3} So, A×B = {(1,1,), (1,2), (1,3), (2,1), (2,2), (2,3)} &, B×A =…

Q: 7. Rewrite the set A = {..., –27,–17, –7,3, 13, 23, 33, ...} using set builder notation. %3|

A:

Q: What is set-builder notation?

A: Definition of set-builder notation:

Q: Specify the set B in set-builder form by giving a written description of its elements, where…

A: given B={0,1,4,9,16,25} B=0,12,22,32,42,52

Q: Express the set in set-builder notation {24, 32, 40, 48,....,88}

A: Consider the given set. Rewrite the elements of sets as the multiple for 8. Given set=24, 32, 40,…

Q: 9. Consider the 8-elements set A = {a, b, c, d, e, ƒ, g, h} . How many subsets of set A have 4…

A: Solution

Q: Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

A: Given,            A=(1, 2,3,4,5,6,7,8,9,10,11,12) We have to determine the number of different…

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: Translate the set {a, b, c, d, ..., z} to set builder notation form.

A: Given   set {a,b,c,d,...…z}

Q: Let the Universal Set, S, have 176 elements. A and B are subsets of S. Set A contains 56 elements…

A:

Q: Let U = { 14, 15, 16, 17, 18, 19, 20 }, A = { 14, 16, 18, 20 }. Use the roster method to write the…

A:

Q: How may elements are in the set [-2, 2] \N?

A:

Q: Consider the following sets: A = {1,3,5,7,9, B, D, F), B = {0,3,6,9, C, F) and C= (0, 2, 4, 6, 8, A,…

A:

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: If a set contains 4 elements then its power set will contain?

A: Here  Set Contains 4 Elements So For n elements  It's Number of powerset =(2^n)

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where B =…

A:

Q: Calculate the number of subsets and the number of proper subsets for the given set. {x|x€N and…

A:

Q: 8. Show that the set (0, 1) – {1/2, 1/3, 1/4, -..} is uncountable.

A:

Q: (iii) ((A – B)UC – D) specified using set builder notation without any word -

A:

Q: Write the given sets in set builder from  a. {1,2,3,6,9,18} ?!

A:

Q: 6. Let S be a set containing 700 elements. which is greater, the number of subsets of S having 400…

A: We have given as set 'S' with '700' elements in it. Concept:  CARDINALITY -- Cardinality is the…

Q: If A (5, 7, 8, 9}, B = {3, 4, 5, 6} and C = {2, 4, 6, 8, 10}; where n is total number of distinct…

A:

Q: Given the Universal Set as numbers from 0 – 10,  Set A - {3, 5, 9 } and Set B - { 0, 3, 5, 6, 9} ,…

A: n(A U B) means number of elements in set (A U B).  or Formula can also be used to get n(A U B): n(A…

Q: Construct a Venn diagram illustrating the sets below. U={a, b, c, d, e, f, g, h} W={a, c, d,f} х-…

A:

Q: The inter setion of infuite opeh sets need notto bo oPen.

A: The given problem is to show that the intersection of infinite open sets need not to be an open set.

Q: Use set builder notation to give a description of each of these sets 1 (Ben, Aiden, James, Derrick)…

A:

Q: Let the Universal Set, S, have 135 elements. A and B are subsets of S. Set A contains 93 elements…

A:

Q: list out the elements of the set "The letters of the word Mississipi"

A: here, our aim is to find the elements of the set "list out the elements of the set "The letters of…

Q: (b) B = {1,2, 3, 6,9, 18}

A: K={11,12,13,14,15,16} Set builder form of K is  {1x| x is a natural number less than 7}

Q: Let X= {p, q, r, 15, 16, 17}, Y ={q, s, t, 15, 17, 19}, and Z= {q, s, 16, 17, 19}. List the members…

A: let X={p,q,r,15,16,17}   Y={q,s,t,15,17,19} Z={q,s,16,17,19} find member of X∪(Y∩Z)=?D

Q: 2. Specify the set B in set-builder form by giving a written description of its elements, where…

A:

Q: Denote the set in set-builder form {6, 12, 18, ….66}

A: The objective is to denote the set {6, 12, 18, ….66} in set-builder form.

Q: (b) B = {1, 2, 3, 6, 9, 18}

A:

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

A:

Q: How many subsets of a set with 64 elements have more than two elements

A:

Q: Write the following sets in the set-builder form :(i) (3, 6, 9, 12}     (ii) {2,4,8,16,32}…

A:

Q: Is the set (9, 20] under usual order ≤ well-ordered? Why?

A: We need to determine the set (9 , 20] under usual order is well - ordered or not. We know that , a…

Q: . Write the following set in set builder notation: R [2, 7)

A:

Q: 5. Show that a finite set is a closed set.

A:

Q: Give five examples of Venn diagram 3 sets with problem solving-and solution

A: Venn diagram is used to solve mathematics expressions like sets, union, intersection. Venn diagram…

Q: 4.3 Give an example to show that the arbitrary intersection of open sets is not an open set.

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

Q: Write in set builder notation: {1,1/2,1/3,1/4,1/5}

A: In set builder form, all the elements of a set possess a single common property which is not…

Q: 2. Write the set of positive odd integers in set-builder notation.

A:

Q: Let the Universal Set, $, have 92 elements. A and B are subsets of S. Set A contains 27 elements and…

A: Given information nS=92 nA=27 nB=57 nA∩B=24 We have to find the number of elements are in neither in…

Q: 2. Draw a Venn diagram for the set AU(BnC).

A: We first draw U, A, B, C

Q: se the roster method to write the set A'.

A: Here use definition of complement of set

Q: How many subsets of a set with 50 elements have more than one element?

A: Introduction:  Here we need to find how number of subsets have more than 1 element. Given:…

Q: 10. If a set has 255 proper subsets, how many elements are there? Why?

A:

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”.