2. Let A = {2,4,6,8}. Suppose B is a set with |B| = 5.(a) What are the smallest and largest possible values of |A∪B|? Explain.(b)  What are the smallest and largest possible values of |A∩B|? Explain.(c)  What are the smallest and largest possible values of |A×B|? Explain.

Q: 9. What is the set-builder equivalent of {0, 1, 2 }? 10. What is the set-roster equivalent of {x E…

A: Set: Set is any collection of objects or elements which may be numerical or non-numerical. Set…

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: 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: Write each set using set-builder notation and inequalities. (a)     A = {1, 2, 3, 4, 5, 6,....}…

A: (a) Given set is A=1,2,3,4,5,6,.... The set-builder notation of set A is given by A=x:x∈N   (b)…

Q: Example 5. If A, B and C are three sets and U is the universal set such that n(U) = 1000, n(A) =…

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: My NotesAsk Your Teacher   Let A and B be subsets of a universal set U and suppose n(U) = 360,…

A: It is given that A and B are subsets of the universal set U.

Q: (Q x {-n,n})U{-1,0,9,11,17} is an uncountable set a countable set

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: can two disjoint sets be close? Justify your answer using an example.

A: We know that any closed interval of the form [a,b] is an closed set. We use this fact further.

Q: 3. Let A = {x €R|x 2}, C = {x € R ||x| < 2}, D = {x € R| |x| < 2}, and E = {x € R|xs -2}. a. Do…

A:

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: Example: Find (A U B)' n C for the sets A, B and C depicted below. UA 8. SMAno 20 15 10 5 9. 3. 62…

A: The detailed answer and explanation is given below-

Q: Explain and give a simple example that shows that the intersection operation on sets is symmetrical.

A: Answer

Q: For the set {a,b,c,d}, list  a) all the arrangements of 2 objects.  b) all the subsets of 2…

A: Given problem Given that   For the set { a, b, c, d }, list  a) all the arrangements of 2 objects…

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

A:

Q: c) Create a set comprehension for the set F = {1,2,4,8 %3D

A: Solution of the problem as follows

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: Which is an example of disjoint sets in a deck of ordinary playing cards? a. A = {face cards} and B…

A:

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

A:

Q: (c) Find (A - B) - C and A (B - C). (Enter your answer in set-roster notation.) (А - в) — с : А - (В…

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: (c).Give an example to show arbitrary union of open sets is again open. Is the result true for…

A:

Q: Hi, What is the "{}" when it comes to sets? Like for example what is the difference between {x} and…

A: The "{}" means "the collection of" or "a set". There is a big difference in  between {x} and {{x}}.…

Q: True or False a null set is an element of (-2,-1,1,4)

A: The given set is  (-2,-1,1,4)  Null set is not the element of every set. It is the subset of every…

Q: 2. Let |A| = 12, |B| = 7,|C| = 9, and exactly 3 elements are common for A and B, exactly 5 elements…

A:

Q: Answer the remaining questions about set theory and probability theory.   d) Give an informal…

A: Given  X⊂ Y  Y⊂ X

Q: Write the set using roster notation: {xIx ∈N and x >24} a. {xIx is a natural number less than 24}…

A: We can write the set in roaster form as below

Q: Find the intersection of the sets. {a, b, c, d}∩∅

A: Given sets are {a, b, c, d} and an empty set ϕ

Q: 2. (a) (5 Puan) What is the statement of the well-ordering principle? (b) (10 Puan) Use the…

A: Every nonempty subset S of the positive integers has a least element.

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: 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: True or False? 7. If A and B are two sets such that A ∪ B = A ∪ C then B = C.

A: Given: If A and B are two sets such that A ∪ B = A ∪ C then B = C.  We check that it is true or…

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: 12. Using the figure on the right and U={a,b,c,d,e,f.g.h} being the universal set, find the elements…

A: Given that the universal set is: U=a, b, c, d, e, f, g, h

Q: 10. Find all sets A, B, and C which satisfy the following. A ={1,|B| ,|C|} B={2,|A| , |C|} C…

A: We are entitled to solve only one question at a time. As question number is not mentioned, So we are…

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

A:

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: In a linguistics course, the professor asked the students to list all the languages they speak…

A: a) equivalent sets are sets with same number of elements, where all the corresponding elements of…

Q: How do we denote the empty or null set?

A: A set is said to be an empty set or a null set if there is no element in it.

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…