Let A = {2,4, 6, 8}. Suppose B is a set with |B| = 5. a. What are the smallest and largest possible values of |AU B|? Explain. %3D %3D < |AU B| < b. What are the smallest and largest possible values of |An B|? Explain. < |An B| < c. What are the smallest and largest possible values of |A x B|? Explain. < |A x B| <

Q: 2. Let A = {2,4,6,8}. Suppose B is a set with |B| = 5. (a) What are the smallest and largest…

A: 2)  We have given that ,  A = 2 , 4 , 6 , 8 Here , A = 4   ,  B = 5 (a) We need to find largest and…

Q: 3.5 Can two disjoint sets be close? Justify your answer using an example.

A:

Q: Refer to the Venn Diagram shown below. How do you represent the shaded region using set operations?…

A: We will find out the required value.

Q: what is a matching? And give examples

A:

Q: 5. Consider the sets A = 0 and B = {0} and C= {1,0}. Find each of the following sets, if it is…

A: The given sets are                       A=ϕ and B=ϕ and C=1,ϕ. Here the set A is the empty set,…

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: List the elements of the set. HINT [See Example 1.) The set of outcomes of tossing three…

A:

Q: 2. Let A be any nonempty set. (a) Give the definition for: "A is not countable." (b) Is it true or…

A:

Q: Answer the following questions about the given sets. a. Are the sets equivalent? Explain. b. Are the…

A: Answer the following questions about the given sets.aAre the sets equivalent? explainbAre the sets…

Q: Let the set A be defined as follows. A={60,28,23,18,8,7} (a) Find the total number of subsets of A.…

A: Given that A={60,28,23,18,8,7}

Q: 16) Bu (An C') A C

A:

Q: Decide if the given statement is true or false. If it is false, give the reason. {} {{track, hockey,…

A:

Q: suppose you have a set A and B WITH |A| = 14 AND |B| = 23 WHAT IS THE LARGEST POSSIBLE VALUE FOR |A…

A: Given that the sets A and B are such that |A|=14 and |B|=23. We know that the union of A and B is…

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: Choose the correct option. (a)empty    (b)a singleton      (c)a finite set with more than element…

A: f(x)=2100x+1g(x)=3100x+1

Q: A and B be two sets such that A ∪ B has 60 elements. A has 32 elements and B has 40 elements. How…

A: Given that A∪B has 60 elements and a has 32 elementsand B has 40 elements we need o findno. of…

Q: A bowl contains 8 red balls and 8 blue balls. A woman selects balls at random without looking at…

A:

Q: Consider the 5-elements set A = {a, b, c, d, e). How many subsets of the set A have 3 combinations…

A: Solution :-

Q: Uist all subsets of the set C-(1, 2, 3).

A:

Q: In "Mathematics All Arounde", Ch2, Exercise 2.1, #41, the problem is: {Florida} # {x : x is a state…

A: Here,

Q: Which among the sets is open? a. [0,1) b. {0,...,1/n,...,1/3,1/2,1} c. R\[a,b] d. None of the above

A: The objective of the question is choose the correct option that is a open set.

Q: Q4) Let A = {1,2,3,4} be the given set. Find 1. п(Р(A)) 2. Write power set, P(A) 3. Write a class…

A: Given set is  A={1,2,3,4}

Q: 3. True or False. Determine whether the given pairs of sets are equal. a. A = {2n + 1|n E W} ; B =…

A:

Q: List the elements of the set. HINT [See Example 1.] The set of outcomes of tossing three…

A: Three coins are tossed

Q: ist the elements of the set. HINT [See Example 1.] The set of outcomes of tossing three distinguish…

A: Given Solution:

Q: List the elements of the set. HINT [See Example 1.] The set of outcomes of tossing three…

A: a) Three distinguishable coins are tossed.

Q: Which of the following are disjoint sets? *       D. {1,3,5} and {2,4,6}       C. {1,2,5} and…

A:

Q: How do you find the complement of a set?  for example; u = { 2, 3, 4, 5, 6, 7, 8, 9, 10 }  The way…

A:

Q: How may sets of intersecting chords are there in the figure? [6 1 12 14 73° 4 1

A: Q.6 has answer 3

Q: Use the given minimum and maximum data​ entries, and the number of​ classes, to find the class​…

A:

Q: Consider the drawing below: C Write a paragraph that explains why the following proposition is false…

A:

Q: 3. Given the set A={ 4, 5, 8} for same parity. Find R2

A: If two integers are either both even or both odd, they are said to have the same parity.

Q: Which of the following sets are equal? A. {2,3} × {3, 4} B. {3, 4} × {2,3} C. {2, 2, 3, 3} × {3, 3,…

A: To choose: The sets which are equal. A. 2,3×3,4 Find the set. 2,3×3,4=2,3,2,4,3,3,3,4 B. 3,4×2,3…

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: For each of the pairs of sets, determine whether the first is a subset of the second, the second is…

A: All elements in the subset must be an element of the set but vice versa is not true.

Q: Which of the following sets are well-ordered? Justify your answers. (a) A = {r € Q :1> -5} (b) A =…

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: 3. Consider the drawing below: A Write a paragraph that explains why the following proposition is…

A: Consider the given figure: ABCD is a quadrilateralABC and BCD are triangles   To prove below…

Q: ow diagram shows the association "is less than" from a set of numbers to a set of numbers? is less…

A:

Q: hat are the sets Ø x B, Ø x D, and Ø x E? 4.What are the sets Ax B and B x A? Are these two sets…

A:

Q: a. List the elements in the set A b. Are the elements d andh comparable? c. Is A a totally ordered…

A:

Q: Answer the following questions about the given sets. Are the sets equivalent? Explain. a. b. Are the…

A: Equal Sets :  Two sets A and B can be equal only if each element of set A is also the element of the…

Q: 2. Let A = (2,4,6,8). Suppose B is a set with |B| = 5. (a) What are the smallest and largest…

A:

Q: Refer to the Venn Diagram shown below. How do you represent the shaded region using set operations?…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: write a word description of the set {1,3,5,7,9} The set of _________ less than ________.

A: Set of natural numbers is infinite set which includes all the positive integers which starts from 1…

Q: 2. Let A = {2,4,6,8}. Suppose B is a set with |B| = 5.(a) What are the smallest and largest possible…

A:

Q: Refer to the partially ordered set defined on the Hasse diagram below. Fill in the blanks with the…

A: By using definitions of maximal and maximum elements we solve the given problem

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: Set A contains 7 Consecutive even integers. If the average of set A’s integers is 46, which of the…

A:

Q: 3. Let A = {2,4, 6, 8}. Suppose B is a set with |B| = 5. %3D %3D (a) What are the smallest and…

A: a. We  have given set A={2,4,6,8} and |B|=5      Largest possible values of |A U B|=9 because we…

Q: A = {Becky, Darius, Julian, Lenny, Olsen, Bess} B = {Lenny, Olsen, Darius} C = {Melvin, Newton,…

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”.