Suppose that A = {3, 7,1 6}, B = {3, 16}, C = {7, 16}, and D = {7 ,8, 1 6}. Determine which of these sets are subsets of which other of these sets.

Q: Which of the following sets are closed under addition? Explain why they are or are not closed. d.…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: Determine the number of subsets for the set T = {a, b, c}

A: topic- number of subsets number of subsets of set with n elements are 2n

Q: Consider the following sets U= {1,2,3,4,5,6,7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is A' -B' ?…

A:

Q: Construct a Venn diagram illustrating the sets below. U={1, 2, 3, 4, 5, 6, 7, 8, 9} W={1, 4, 5, 6,…

A: first we will find the intersection of each then find the intersection of the two then draw

Q: Choose any that is a subset of the set S={10, Ø,{{ Ø}}} 0{0} {(Ø), 10) 0 {{0}}

A: Solution

Q: Consider the following sets: U = {2, 3, 4, 6, 8, 9, 10, 12, 14, %3D 15} |А%3D {3, 6, 9, 12, 15} В…

A:

Q: 6. Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}. Determine which of these…

A: Solve the above question.

Q: For the universal set U=(0, 1, 2, 3, 4, 5, 6, 7} and the sets A={1,5}, B=[1, 2, 3, 4} and C=(4, 6),…

A:

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: Suppose A and B are sets such that |A| = 2 and |B| = 3. What is |P(A x B)|?

A:

Q: Which of the following sets are created correctly?s = {1, 3, 4}s = {{1, 2}, {4, 5}}s = {[1, 2], [4,…

A: The elements of the set is written in { } separated by comma. Example: A=a, b, c If there are two…

Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: If P = {1, 2}, form the set P × P × P.

A:

Q: Consider the set X = {A,B, C, D,E, F, G} case 1 How many 4-letter lists from X (with repetition…

A: A set X is given. We have to find the number of 4 - letter lists possible from X if certain…

Q: Which of the following are disjoint sets? O B.(1,2,8) and (2,8,4) O C (1,2,5) and (3,4,5) (1,8,5)…

A: Given the sets:  1,2,3 and 2,3,4 1,2,5 and 3,4,5 1,3,5 and 1,3,6 1,3,5 and 2,4,6 We have to check…

Q: Given that U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}, list…

A: Given, U=1,2,3,4,5,6,7  A=1,2,3,4  B=1,2,5,6 C=3,5,7  We have list all of the members of the set ( A…

Q: Decide, among the following sets are subsets of one and another: A=(x xeRand x satisfy x² - 4x + 3 =…

A: Given sets, A=x: x∈R  and  x satisfy x2-4x+3=0B=1, 3C=1,3,5D=4,5,6

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

A:

Q: If H={1,2,3} and P={2,3,5}. How many proper subsets does H∩P have? (Don’t forget the empty set!)

A: If the cardinality of a set is n then a number of subsets of S will be 2n - 1.

Q: Suppose that A = {2, 4, 6}, B = {2, 6}, C = {4, 6}, and D = {4, 6, 8}. Determine which of these sets…

A: Given sets are  A = {2, 4, 6}, B = {2, 6},  C = {4, 6}, and D = {4, 6, 8}.  Definition of subset is…

Q: Let U={1, 2, 3, 4, 5, 6, 7). A = {2, 3, 5, 7), and B={2,4, 7}. Find the set A' n B".

A: Given,         ∪=1,2,3,4,5,6,7          A=2,3,5,7          B=2,4,7

Q: Given the sets A = {1, 3, 5}, B = {2, 4, 6} and C = {0, 2, 4, 6, 8}, which of thefollowing may be…

A:

Q: Let U = {0,1,2,3,4,5,6,7}, A = {3,4,5}, B = {0,3,4,7}, C = {6,7}, find the following sets using the…

A:

Q: Find the complement of the set given that  U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.  (Enter…

A: We have to find the complement of the set {x | x∈N and x < 9} given that U = {0, 1, 2, 3, 4, 5,…

Q: Which of the following are disjoint sets? * (1,3,5) and (1,3,6) O (1,2,3) and (2,3,4} ) (1,2,5) and…

A: Given query is to find the disjoint set.

Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Let A, B and C be three sets such that: Set A = {2, 4, 6, 8, 10, 12}, set B = {3, 6, 9, 12, 15} and…

A: We have find answer.

Q: If A and B are two sets, and A x B consists of 6 elements: If three elements of A x B are (2, 5),…

A: Given A cross B = (2,5),(3,7),(4,7)

Q: Deter mine al subset relationships, amang the sets {1,2,3, 4? , {2.4,63, {2,4}, {X€NI<<63,Ø

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:

Q: Let S = {1,2,3,4}. Determine the set {A € P(S) : |A| = 2 }.

A: Let S = {1, 2, 3, 4}

Q: If A = { 1 , 2 , 3 , 4 , 5 } and B = { 4 , 5 , 6 , 7 , 8 }, find the following. The universal set…

A: Given :   A = { 1 , 2 , 3 , 4 , 5 } and B = { 4 , 5 , 6 , 7 , 8 } U = { 0 , 1 , 2 , 3 , 4 , 5 , 6 ,…

Q: Use the following sets to define each set below. A = (4, 7, 10, 14, 17, 20) B = (1, 4, 9, 14, 20)…

A: Given that  A={4,7,10,14,17,20} B={1,4,9,14,20} C={2,3,7,10,17}

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

A:

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

A:

Q: Make sure that the set {(-1,1), (3, 0), (2, 5)} generate R4

A:

Q: Consider the following sets U= {1,2,3.-4,5,6.7,8}, A = {2,4,6}, and B= {1,2,4,6}. What is (B' UA)' ?…

A:

Q: Choose any that is a subset of the set S=(10, Ø,{Ø}}} O(Ø) a {(Ø), 10)

A:

Q: Suppose XX is a set with 144 elements that is partitioned into four subsets: X1, X2, X3, and X4. If…

A: To determine the number of elements in each subset in the partition.

Q: Suppose that A = {2,4, 6}, B = {2, 6}, C = {4,6} and D = {4,6, 8}. Determine which of these sets are…

A:

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

A:

Q: Consider the sets A = {1,2,3,4,5}, B = {3,4,5,7} and C = {2,4,6,8}. Then the set (AnC)OB is…

A: The sets are given as, A=1,2,3,4,5B=3,4,5,7C=2,4,6,8 Consider the definition of intersection of…

Q: If the set A has 3 elements and the set B = {3, 4, 5}, then find the number ofelements in (A×B).

A: Given that n(A)=3 From B = {3, 4, 5} we see that n(B)=3

Q: Decide, among the following sets are subsets of one and another: A={x:x ER and x satisfy : x - 4x +3…

A:

Q: Which of the following sets is (are) closed under multiplication? Explain why or why not. d.{0, 1}…

A: (d) the set {0,1} is closed under multiplication, because, 0•0 = 0, 0•1 = 0, 1•0 = 0 &amp;, 1•1 = 1

Q: Write the universal set (U) for the following: X= {1, 3, 7, 8, 9} Y= {0, 1, 3, 9} Z= {2, 5, 8}

A:

Q: Suppose that A = {2,4, 6}, B = {2,6}, C = {4,6} and D = {4,6,8}. Determine which of these sets are…

A: Given sets are: A=2,4,6B=2,6C=4,6D=4,6,8 To determine which of the set is a subset of other sets.

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”.