39. Let A = {1, 2, 3, 4, 5} and B = {0, 2, 4, 6, 8, 10}. Write A UB using the listing method. AUB = %3D 45. Determine the cardinality of n(A) where A = {x | x is a whole number and 0 sxs 7}. n(A) =

Q: 1.4.9. Given sets A, B, and C, prove the following statements. (a) A has the same cardinality as A.…

A: Given below the detailed solution

Q: The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities…

A:

Q: Consider the Venn diagram shown below. A B 4 5 12 3 |11 8 C 1

A:

Q: 2. Determine the cardinality of the following sets. (a) {2x :1<x < 16} (b) {N} (c) {0,2 – 1, V4, ø,…

A:

Q: The cardinality of the Power set of the set {1, 5, 6} is а. 5 b. 6 с. 8 d. 10

A: The cardinality of a set is the number of elements present in that set . If n is the number of…

Q: Q3- Give an example of two denes not equal X subsets of (R,7) and (z,7cof). ( Explain your answer ).…

A:

Q: Queston2 {e-x, xe-O onlo, c∞) a) shau that q fandamented Set

A:

Q: Find the following cardinalities: a. JA| when A {5,6, 7,8, ..., 29}. b. |A| when A = {z € Z: -6 < a<…

A:

Q: Suppose that |A| = m and |B| = n. Find the following cardinalities. a. b. Ip(A x B)| c. Ip(A) x…

A:

Q: Consider the following sets. A  =  {13} B  =  {10 + 3} C  =  {10, 3} D  =  {23} E  =  {2, 3} (a)…

A: The cardinality of a set is the number of elements in that set.A=13. Since set A contains only one…

Q: 24) 100 people are surveyed, obtaining the following information: -Every respondent who owns a car…

A: Given that the total number of respondents is 100. There are 54 male respondents. The number of male…

Q: Q2: Suppose A = {Set of natural number less than 9}, B = {Even natural number less than 12 } and C =…

A: A = { Set of natural number less than 9} B = { Even natural number less than 12} C = { Multiples of…

Q: Suppose that |A| = m and |B| = n. Find the following cardinalities. a. P(P(P(A))). b. P(A × B)| с.…

A:

Q: Consider the word TORTOISE. Count the number of arrangements of this word (a) such that no two…

A: We have to solve given problem:

Q: 6.2.2 Let A = {1,3} and B = {2,4}. (a) Draw a picture of the set A x B. (b) Compute P(A × B). (c)…

A: A = { 1, 3 } and B = { 2, 4 }. a.) A × B = { ( 1, 2 ), ( 1, 4 ), ( 3, 2 ), ( 3, 4 ) }. Plot these…

Q: Let the set S (-2, 0, 5), fx)=,-1and g(x)=3x- x2 .Are the set gof (S) : {3, -4, 14) {399, 0, 143}…

A:

Q: 16. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…

A:

Q: Consider the following sets. A  =  {12} B  =  {10 + 2} C  =  {10, 2} D  =  {26} E  =  {2, 6} (a)…

A: Definitions:- 1. Cardinality of set - Cardinality of set is the number of elements in set 2.…

Q: 3. Determine the following cardinalities. (a) A = {1,2, {3, 4, 5}} |A| =. (b) B = {{1,2,3, 4, 5}}…

A:

Q: Let D be a set of dogs, R a set of retrievers, and G a set of golden retrievers. Assume that GCR and…

A: a) Given that G⊆R and R⊆DIf, G≠R≠D then we can say that there are some dogs which are not…

Q: A={ y ∣ y ∈ N and 305< y ≤ 335} A has      subsets.  A has              proper subsets.

A: We have, A={ y ∣ y ∈ N and 305&lt; y ≤ 335} Let A and B be two sets. We say that A is a subset of B…

Q: R.1. Use the Schröder-Bernstein Theorem to prove that the intervals [0, 1) and (1, ∞) on the real…

A: The trigonometric tangent function sprang to mind first, and a strategic linear transformation of…

Q: Consider the following sets. A  =  {14} B  =  {10 + 4} C  =  {10, 4} D  =  {25} E  =  {2, 5} (a)…

A: Note: As per company guidelines we are supposed to solve only 1 question or 3 subparts. So, kindly…

Q: 17. Suppose you want to write a program that will collect information on a customer's tastes and…

A: Given: By monitoring online shopping habits,the following table gives a set of pairwise…

Q: The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities…

A:

Q: The accompanying Venn diagram shows the number of elements in region V. Use the given cardinalities…

A:

Q: Write each of the following sets by listing its elements between braces and then find its…

A:

Q: A is the set of odd numbers greater than 7 and less than 25 B = {d, e, ƒ, h, k, s} (a) Find the…

A:

Q: 16. Show whether point N lies on or outside the line AB N=(2,1.5,3), B (0,1,2), A (4,2,4) N=(2,2,5)…

A:

Q: V.1. What is the cardinality of the set {r € Z|r = y°, for some y € Z, – 10 < y < 10}

A: It is given that x=y2 for some y, where -10≤y≤10. For the values -10 and 10, the value of x will be…

Q: The cardinality of x = {n|1<n s 96, n is not divisible by either 2, 4 or 6} is

A:

Q: If U = {2, 4, 6, 8, 10, 12, 14} and A = {2, 6, 10}, what is the cardinality fo A'? а. 3 b. 6 С. 4 d.…

A: If U ithe universal set and A is the given set, then compliment of A is defined by

Q: Given two sets X and Y, we denote the cardinality of X by |X| and the set of all functions from X to…

A: We are given two sets X and Y. The set of all functions from X to Y is denoted by YX.  Suppose that…

Q: 11. consider the following sets: U = {-5,–4, –3, –2, –1,0,1,2,3,4,5}, A = {x: x² = 25}, B =…

A:

Q: 2) The numbers in the Venn Diagram below represent cardinalities. B (4 11 10 U 14 C Find n(A n B' n…

A: From venn diagram,    n(A∩B'∩C')  = n(A-B-C)  That is 11.( from figure above)

Q: Which of the sets below, if any, have the same cardinality as each other ?    A = {15, 20, 25, ...…

A: We know that the cardinality of a set is the number of elements presented in that set. Cardinality…

Q: A combination is a selection of r distinct objects from a. Not above b. n objects O C. r objects d.…

A: Combination:   It is nothing but the objects are being selected when the order of selection is not…

Q: 1. Use counting to determine the whole number that corresponds to the cardinality of these sets. (a)…

A:

Q: Q3 ( Let A, B and C be sets. Show that (C – A)n (A – B) = 0, without using membership tables.

A:

Q: Suppose n∈ℤ+, and gcd(n,12) = 4. Mark ALL of the properties that are possible. gcd(n,16) = 8…

A:

Q: Find the cardinality of the set {x|x is an even whole number less than 10}.

A:

Q: Express the set in roster form. B= (x | XEN and x26) Choose the correct answer below. O A. B- (7, 8,…

A: Given: B={x|x∈N and x≥6} To find: Express the set in Roster form

Q: 5. Differentiate with respect to x: SET A. 5e

A:

Q: EX LeT X = {!,2,3,415,6} T- Ex,¢,てり,E4,しろ4), [ス456 Topology.?

A:

Q: For the sets A = {-8,–2,2}, B = {7, 16} , the value |P(AUB)| is [ Note: |P(S)|means cardinality of…

A: From the given problem:   A=-8,-2,2B=7,16   As we know that the meaning of union 'U' is the…

Q: 13. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5};…

A: Given that U=-5,-4,-3,-2,-1,0,1,2,3,4,5 A=x:x2=25 B=-5,0,1,2,3,4,5 C=x:x2-5x+6=0 We have to find A∩B

Q: Consider the Venn diagram shown below.   Determine the following cardinalities. n(A)= ? n(C¯)= ?…

A:

Q: ave a class boundary that is less than zero?  On the probelem I am working, the class goes from 0-5

A: Class boundaries are the values which help in separating the data points in statistics.

Q: U Y LOUT 11. consider the following sets: U = {-5, –4, –3, –2, –1,0,1,2,3,4,5}, A = {x: x² = 25), B…

A: