2. Using the set-roster notation. а. Let A = {1,2,3}, B = {3,1,2}, and C = {1,1,2,3,3,3,3}. What are the elements of A,B, and C? How are A, B, and C related? b. Is {0} = 0? c. How many elements are in the set {1,{1}}? d. For each nonnegative integer n, let Un = {n,-n}. Find U1, U2, and Uo?

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: Σ Ge in B Use the Venn diagram to determine the roster form of the indicated set. 3. 6. 2 4. Which…

A: The solution are next step

Q: Let A = {a, b, c}, B = {a, c, d, e}, and C = {a, d, f, g}. Find the indicated set. A ∪ B

A:

Q: Given that U = {1, 2, 3, ., 11, 12, 13} A = (4, 6, 7, 9} B = {1, 2, 5, 10, 12} C = {2, 4, 10, 12}…

A: Elements of each regions are mentioned below

Q: Use the given sets to find (A∪B)∩C   A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

A: Given that, A={1,2,3,4,5,6,7,8} b={2,4,6,8,10,12} c={3,5,7,9,13,15}

Q: Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}.  List all the…

A: Given: As per bartleby guidelines for more than one questions asked only one question is to be…

Q: For the set B = {a,b, c, d, e} list all of the subsets having exactly two elements. O{b, c, d} O{a,…

A: We need to select the subsets of the set B={a, b, c, d, e} having exactly two elements (cardinality…

Q: Suppose that A = (3, 7,1 6}, B = (3, 16}, C= (7, 16}, and D = {7,8, 1 6}. Determine which of these…

A: Set A is said to be a subset of Set B if all the elements of Set A are also present in Set B. In…

Q: set

A: Given: U=​{1,2,3,...,17​} A=​{4​,5​,7​,8​,17​} B=​{5​,6​,7​,9​}

Q: 1. Draw a Venn diagram that illustrates the relationship among the given sets: U= {Thousand Oaks,…

A:

Q: How many proper subsets does the set T={h,f,k} have

A: A set is given by, T = h, f, k. The objective is to find the number of proper subsets the T have.

Q: 2. Consider the collections C = {penny, nickel, dime, quarter} D = {penny, nickel, nickel, dime,…

A: (a) The number of elements in collection C is 4 and the number of elements in the collection D are…

Q: ​Find, if​ possible, the number of elements in sets​ A, B, and C using the given information. If…

A:

Q: Refer to the sets below. Which set represents (C-A)NB ? U = {0, 1,2, 3, 4, 5, 6, 7,8,9} A = {3, 4,…

A:

Q: Use the given sets to find A UB. A = {2, 3, 4, 5, 6, 7, 8, 9} B = {5, 7,9, 11, 13, 15}

A:

Q: For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions.…

A: We have to construct a Venn diagram for the given sets.

Q: 3. Find the number of elements in A, UA,UA, if there are 100 elements in each set if a) the sets are…

A: Since you have posted multiple subparts we solve first three subparts for you To get the solution of…

Q: i. How many ways a meal-deal can be formed if Alia prefer a set that contain burger? ii. How many…

A: here from given information, main menu have 5 choices  side menu have 5 choices beverage also have 5…

Q: VI.Use the set-builder notation to describe each of the following: 16.{4, 8, 12, 16, 20, ...} 17.{…

A:

Q: 1- Let S = { ∅, a, {a} }. Determine whether each of these is an element of S, subset of S, neither,…

A: We are solving the first question and for the next question post the question again and also mention…

Q: 2. If A = {a, b, c}, B = {1,2, 3}, C = {r}, and D = 0, list all of the elements in each of the…

A: Cartesian product of sets

Q: List the elements of the given set. the sets (A n B) U C and An (B U C), where A = {1, 2, 3, 4, 5,…

A: Given, A = {1,2,3,4,5,6} B = {3,4,5,6} C = {1,2,6,7,8} Now,  we have to find A∩B∪C   and  A∩B∪C

Q: Given that U={1,2,3,...,18,19,20} A={1,5,6,7,8,10,12,13,14,16,17,18,19}…

A:

Q: 5. If A, B, C are finite sets and |A| denotes the number of elements in A, show that |A ∪ B ∪ C| =…

A:

Q: Given the sets U= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, A = {1, 2, 6, 7, 8, 10} B = {2, 3, 4,…

A: Given data,U={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}A={1,2,6,7,8,10}B={2,3,4,8,9,12,15}(Ac ∪ B)c =?

Q: For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions.…

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

Q: Use the Venn diagram shown to list the set C' in roster U 1 B 7 13 A 5 3 C 10 11 15 14 9 17

A:

Q: If a set S has n > 3 elements, how many subsets of S have less than n – 1 elements?

A: Apply the simple logic of Permutation & Combination.

Q: If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii)…

A: Given:

Q: Use the Venn diagram to list the set B-A' in roster form. U A b h O A. B-A'={b,c,t,w} O B. B-A'=…

A:

Q: Let A = {June, John, James, Justin, Jeffrey, Jelly}, B = {John, Jelly, Justin}, and C = {Irina,…

A: Let A = {June, John, James, Justin, Jeffrey, Jelly}  B = {John, Jelly, Justin} C = {Irina, Irena,…

Q: How many seating arrangements can be formed if by seating A,B,C,D,E in a row: If A,B,C sit together…

A: Given information: As per guidelines we will only answer the first three subparts, please repost…

Q: In how many ways it is possible to partition set B = {1, 2, 3, 4, 5} into 3 nonempty subsets? O a.…

A: Given set is B = {1, 2, 3, 4, 5}

Q: List the elements of the given set. the sets (A ∩ B) ∪ C and A ∩ (B ∪ C), where A = {1, 2, 3, 4, 5,…

A: Given A = {1, 2, 3, 4, 5, 6}, B = {3, 4, 5, 6}, and C = {1, 2, 6, 7, 8}.

Q: Use a three-ring, eight-region Venn diagram as a reference and determine whether (A′∪B)∩C′=A′∩(B∪C′)…

A:

Q: 2. If A = {a,b,c}, B = {1,2,3}, C = {x}, and D = 0, list all of the elements in each of the…

A: We have to find Cartesian product of part (c) and part (d)

Q: 3. Is the set of all brown dogs a subset of the set of all dogs? Why or why not? 4. Is the set of…

A: We need to find the solutions to the given 3 problems. Let's begin.

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

A:

Q: Given that U={1,2,3,...,11,12,13} A={1,2,7,8,9,10,11} B={1,2,3,5,7,11,12} Determine which…

A: A∪B = The union of two set A and B. A∩B = The intersection of A and B. A - B = If A and B are two…

Q: Let S = {1, 2, 3, … , 10}, A = {1, 3, 5}, B = {1,4,6} and C = {2, 5, 7}. Determine the elements of…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: 6. Draw the Venn Diagrams for each of the combinations of the sets A, B and C: (a) AOBOČ (b) A-(B C)

A:

Q: The Venn diagram below shows the number of elements in set A and B. n(A UB). The Venn diagram on the…

A: Given: nA∪B=35, nA∩B=7, nB=19 As  nB=19 ⇒y+7=19⇒y=12

Q: Let U= {q, r, s, t, u, v, w, x, y, z}, A = {q, s, u, w, y}, B = {q, s, y, z}, and C = {v, W, x, y,…

A: Given Information -  U = {q,r,s,t,u,v,w,x,y,z} A = {q,s,u,w,y} B = {q,s,y,z} C = {v,w,x,y,z} We have…

Q: Given that U={1,2,3,...,18,19,20} A={1,2,3,4,7,8,9,10,13,14,15,18,20}…

A: Find the sets asked.

Q: 2. Shade the portion using a Venn Diagram that represents the set. (A' U B)'n C

A:

Q: Given the following sets, determine the set An BC. U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13,…

A: Given sets  U ={ 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15} A= { 1,2,6,7,8,10} B= {2,3,4,8,9,12,15}

Q: Use the Venn diagram to list the elements of the set in roster form. O A. (18, 19} О В. (11, 12, 14,…

A:

Q: Let A=​{peach, kiwi, tomato, raisin​}, B=​{lemon, watermelon​}, and C {tomato, lemon, pear,…

A: Let A and B be two sets .         1.)  n( A∪B)=nA+n(B)-n(A∩B)         2.) n(A∪B)= n(A-B)+n(A∩B)+ n…

Q: Let A = {1, 5, 9} and B = {1, 2, 4, 7}. Determine the set A × B

A: Given that Let A = {1, 5, 9} and B = {1, 2, 4, 7}. To determine Determine the set A × B

Q: Which of the following is the correct representation of A = (2,4.8.16,32. in set puilder notation?"…

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”.