Are these sets finite or infinite? a) V = {vowels} {a,e,i,o,u} b) N = {natural numbers}

Q: Which sets are compact? The set of natural numbers less than some number M

A: We know that a set is compact if and only if it is closed and bounded. The set of natural numbers…

Q: Decide with a proof that the set Nk is countable or not, where N is the set of natural numbers and k…

A: According to the given information it is required to proof that the set

Q: Let the Universal Set, S, have 92 elements. A and B are subsets of S. Set A contains 12 elements and…

A:

Q: Which set has higher cardinality: N or Z? Explain with example

A: Cardinality: The cardinality of a set A is the number of elements present in the set A. We denote…

Q: Build a Venn diagram. •Use the names of the sets to label the regions. •Place the numbers in the…

A: Venn diagram of given set is shown below :

Q: Is (R,#) a poset? If it is a poset, is it a total order? (R is the set of all real numbers)

A:

Q: Assume that there are 13 pairs of black socks (corap) and 8 pairs of blue socks in your drawer What…

A:

Q: The set of numbers in the form , where a and b belong to the set in Exercise 8 and b # 0, is called…

A: Rational numbers are represented in the form of pq where q≠0.

Q: Which of these sets are equal: {x, 1, z}, {z, 1, z, x}, {1, x, 1, z}, {1, z, x, 1}?

A: Given sets are x,1,z , z,1,z,x , 1,x,1,z , 1,z,x,1 find out which sets are equal

Q: Let S={a, b, c, d, e, f, g, h, i, j} be the universal set, A={c, e, f, h}, and B={a, b, c}. Find the…

A:

Q: (aib} oPen set is [arb) ofen? ? closed set Is Is QoPen set

A:

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A: We know that, Hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9,…

Q: The contiuum hypothesis: there exists cardinal number B such that No<ß<c صواب ihi

A: Ans : False , because

Q: (b) Use set theoretic notation to describe the set of all students that were only satisfied with…

A: Given: Venn diagram of given information is given below:

Q: What set is in another class of infinity that is bigger than N?

A: We know that N represents set of natural number which is countably infinite. In order to get set…

Q: How many unordered sets are possible that contain three objects chosen from seven?

A: Number of unordered sets that contain three objects chosen from seven = 7C3

Q: Using the fact that "a countable union of countable sets is countable", show that the statement that…

A: Please see the below picture for detailed solution.

Q: find fundamental set of soleubions cwith d real va lues for

A: Using differential equations,

Q: 2- consider the set of all finite subsets of N, is this set countable or not, prove it?

A: Consider the set of all finite subsets of N, is this set countable or not, to prove it.

Q: The number of subsets of size r that can be formed from a set with n elements is denoted: O (?) O…

A:

Q: Prove: The Cartesian product of countable sets is countable.

A:

Q: A universal set U with 117 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A:

Q: Let the Universal Set, S, have 114 elements. A and B are subsets of S. Set A contains 31 elements…

A: Universal set, S have 114 elementsset A contains 31 elementsset B contains 63 elementssets A and B…

Q: Let A and B be infinite sets that are uncountable. Do an and B have the same car finality as each…

A: Let A and B be infinite sets that are uncountable. Do A and B have the same cardinality as each…

Q: 1.         Consider the sets: A = {a, b, c, d, e, f, h, j}, B = {a, b, i }, C = {f, h} and U =…

A: From the given information, the given sets are:

Q: Let U={x | x is a letter in the English alphabet} be the universal set. Consider the set B={c, m, n,…

A: Let U={x | x is a letter in the English alphabet} be the universal set. Consider the set B={c, m, n,…

Q: Consider the Venn Diagram below.   How many elements are in Set A      ?  How many elements are in…

A: According to given, a). elements in set A= 8 b). elements in set B= 9 c). elements in set A and…

Q: Determine n(U), the number of elements in the universal set, given n(X) = 47 and n(X′) = 156.

A: Note : {X, X'} forms a partition of U. i.e. X &amp; X' are disjoint and their union is the universal…

Q: 8. have a job}, draw a Venn diagram relating the two sets, giver that the universal set U={Human…

A:

Q: how many subsetsof one or more elemets can be formed from a set containing 12 elements?

A: Use concept of power set

Q: A universal set U with 66 elements has been partitioned into three subsets, A, B, and C. If B is 2…

A: We use the definition of the size of a set to find the number of elements in the set B. The size of…

Q: Show that the set of Natural Numbers (N) is a closed set.

A: The objective is to prove that the set of natural numbers is closed. To prove that it is closed we…

Q: What is the set N of all natural numbers?

A: Set of all integers: ℤ={.......,-3,-2,-1,0,1,2,3.......} Set of all positive integers…

Q: What are the basics of a set?

A: Set:A set is a collection of well-defined distinct objects. Here the objects are known as the…

Q: Is the set named empty, finite, or infinite? {points on a line} {baseballs used in a major league…

A: A set is empty if there is no element in it. A set is finite if there are countable elements in it.…

Q: Let the Universal Set, S, have 139 elements. A and B are subsets of S. Set A contains 69 elements…

A:

Q: What is the cardinal number for the set B = {four} ??

A: Cardinal number of a set is defined by the number of elements in the Set.

Q: How many unordered sets are there of two items chosen from four? ?sets

A: We have to find number of unordered sets of two items chosen from four items.

Q: Which sets are compact? The set of integers L

A: The objective is to determine whether the set of integers ℤ is compact or not.

Q: Let the Universal Set, S, have 190 elements. A and B are subsets of S. Set A contains 95 element and…

A: Given Information: Universal set S has 190 elements. Set A contains 95 elements. Set B contains 78…

Q: Are there sets A and B such that |A|=|B|,|A|=|B|, |A∪B|=10,|A∪B|=10, and |A∩B|=5?|A∩B|=5? Explain.

A: Given:A|=|B|, |A∪B|=10, and |A∩B|=5The Venn diagram is

Q: What is the intersection of (a) the sets {0, 1, 3} and {1, 2, 3}; (b) the set of girls in this class…

A: Given information Part (A):- The intersection of sets {0, 1, 3} and {1, 2, 3}. Take A=0, 1, 3,…

Q: Which regions represent set ANC?

A: Here use basic of venn diagram  Here in venn diagram  there are 3 events A , B and C

Q: Recall that hexadecimal numbers are constructed using the 16 digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A,…

A:

Q: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C. If B is 4…

A: A universal set U with 17 elements has been partitioned into three subsets, A,B, and C.

Q: What is meant by Associative law in sets?

A:

Q: Is the set named empty, finite, or infinite? a) N = {counting numbers} b) V {vowels} {points in the…

A: The empty set (or null set) is a set that has no members.   Finite sets are the sets having a…

Q: Use the Venn diagram to determine whether the statements are equal for all sets A and B.   A′ ∪ B′…

A: The given two statements are  A'UB' A∩B

Q: From a pack of standard cards numbered from 1 to 20, a card is drawn at hobilitu that the card drawn…

A: We have given that,  Pack of standard cards numbered from 1 to 20 then the sample space (s) is,  s =…

Q: Consider strings of lowercase letters. How many strings are there of lowercase letters of length…

A: