Find the smallest possible set (i.e., the set with the least number of elements) that contains the given sets as subsets. (Enter your answer using roster notation. Enter EMPTY or ∅ for the empty set.) {1, 2}, {1, 3, 4}, {4, 5, 6, 9}

Q: List All The Subsets Of The Given Set :  {cranberry,orange,grapes}

A: The Given Set is : {cranberry,orange,grapes}

Q: List the elements of the set of all letters in the word ​'four'. The set of all letters in the word…

A:

Q: A. Use the set notation to identify each of the following shaded regions. A В 1. 2.). 3.) 4.). 5.)…

A:

Q: Find the number of 3-permutations of a set with seven elements. a. 130 b. 120 c. 210 d. 100

A: The number of r-permutations of a set with n elements= P(n,r).

Q: Let U = (1, 2, 3, 4, 5, 6, 7, 8}, A = (1, 4, 8}, B = (2, 3, 6, 8}, and C = (5, 6, 7}. Find the…

A: A U B is the set of all elements of A and B without any element repetition .

Q: (4) Find the number of subsets for the set {x | x is a season of the year}

A: we have a set A=x|x is a season of the year

Q: Write each set in the indicated form. If you need to use to indicate a pattern, make sure to list at…

A:

Q: Use set notation, and list all the elements of each set. 8,9,10, \ldots, 17\}

A: 8, 9, 10, ......., 17.

Q: Find the smallest possible set (i.e., the set with the least number of elements) that contains the…

A:

Q: Identify each set as finite or infinite. Then determine whether 10 is an element of the set.…

A: To identify each set as finite or infinite, then determine whether 10 is an element of the set.…

Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A: To write in roster and descriptive form

Q: Example A o B are ndep, How about their subsets.

A: Two events are independent if the occurrence of one does not effect the probability of other.…

Q: Find the number of subsets of the set.   ​{mom, dad,​ son, daughter}

A: We know that for a set with n elements the number of subsets is 2n The given set is…

Q: Find the number of subsets of the given set. {6, 5, 8}

A: We know that, If n(A)=n then possible number of subset are 2nHere A={5,6,8}Therefore n(A)=3possible…

Q: Let A={1,2,3,4,5,6}.A={1,2,3,4,5,6}. Find all sets B∈P(A)B∈P(A) which have the property {2,3,5}⊆B.

A: The provided data is,

Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A: a) The natural numbers are {1, 2, 3, 4, 5, 6, 7, 8, .... }  So the set of odd natural numbers less…

Q: Find the number of subsets that can be formed from a set containing 7 elements. A. 64   B. 49   C.…

A: Given,   There are 7 elements.   The number of subsets that can be formed from a set containing 7…

Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A:

Q: Find the union of the sets: {7, 8, 9, 10, 11} ∪ {6, 8, 10, 12}.

A: Given: 7,8,9,10,11∪6,8,10,12 we know that for find union of sets we have to take every element of…

Q: Write down all the subsets of the following sets:(i) {a} (ii) {a, b} (iii) {1, 2, 3}

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Q: Let U = {5, 6, 7, 8, 9, 10, 11, 12, 13, 14}, A = {5, 7, 9, 11, 13}, B = {6, 8, 10, 12, 14}, and C…

A:

Q: Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2,…

A: U=1,2,3,4,5,6,7,8,9,10A=1,3,5,7,9B=2,4,6,8,10C=1,2,4,5,8,9

Q: Find A ∩ B. (Enter your answer in roster notation. Enter EMPTY or ∅ for the empty set.) A = {b, c,…

A:

Q: Find the number of subsets for the following set. {4,5,6,7}

A: Solved below

Q: Make subsets from {red, blue, pink, green}

A: The answer and detailed explanation is given as below-

Q: Use set notation, and list all the elements of each set. \{12,13,14, \ldots, 20\}

A: 12, 13, 14, ......., 20.

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

A: Given set is x|x∈N and 8<x<13. Let A=x|x∈N and 8<x<13 We have to calculate the number of…

Q: Which among the following is NOT a set? * The collection of all the presidential candidates for the…

A: A set is a collection of well defined and distinct objects.

Q: Identify whether the following are finite or infinite sets. d. The set of regions in the Philippines…

A: The given statements are d. The set of regions in the Philippines e. The set of all odd natural…

Q: Write the set in the set-builder form.  { 1 , 2  , 3  , 4   ,5   ,6…

A:

Q: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, and C = {1, 2, 4,…

A: Given, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 3, 5, 7, 9}, B = {2, 4, 6, 8, 10}, C = {1, 2, 4,…

Q: Find the smallest possible set (i.e., the set with the least number of elements) that contains the…

A:

Q: You have a set Y= { a, b, c, d, e}. How many ways can you arrange 2 elements of the set with…

A: Here, Y= { a, b, c, d, e}. Also arrange 2 elements of the set with repetition The repetition is…

Q: List the elements of the given set. the sets (A n B) U C and An (BU C), where A = {1, 2, 3, 4}, B =…

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Q: How many subsets does the set have? A={1,3,5,7,9,11}

A:

Q: Find the smallest possible set (i.e., the set with the least number of elements) that contains the…

A: Smallest possible set containing given sets is the union of the given sets.

Q: Which set is the subsets of all given sets {0,1,3, 5, 7} {0} {1}

A:

Q: Shade the regions representing the set. A'UB B

A: Given data: The first set given is  A. The second set given is B.     The expression for A' is,…

Q: Find the number of subsets for the following set. (4,5,6,7) How many subsets does this set have?…

A: The given set is 4,5,6,7 Number of elements in the given set =4. The number of subsets in any set is…

Q: Find the set P([a, b]) x P({0,1)).

A:

Q: Write each of the following sets in correct roster notation: (a) {x^2 - 1 : x∈{0,1,2,3,4}} (b)…

A: The answers are given below

Q: Find the union of the sets {a, e, i, o, u} ∪ ∅

A: Given: The set {a, e, i, o, u} and ∅ function. {a, e, i, o, u} ∪ ∅ To find: The union of the set.

Q: Use the set builder notation in describing the given set. 7. {5, 10, 15} 8. {1, 4, 9, 16, 25, 36,…

A: 7. Given set: S1=5, 10, 15  ……1

Q: Let  U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},   A = {1, 3, 5, 7, 9},    B = {2, 4, 6, 8, 10},and    C =…

A: Given, U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10},   A = {1, 3, 5, 7, 9},    B = {2, 4, 6, 8, 10},and    C…

Q: Write each set in the indicated form. If you need to use "..." to indicate a pattern, make sure to…

A: Given roster form of elements- 2,4,6,8,... The elements are even numbers as well as natural numbers.…

Q: Consider the set ? = {3,7,11,15,19, ... ,95,99,103}. At least how many elements must be selected…

A: In the given question we have to find the lest number of the element of the given set s.t there will…

Q: B = {4, 6, 8, 10, 12},  and  C = {3, 4, 6, 7, 10, 11}.  List the elements of each set. (Enter your…

A: We have to find element

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”.