Math
Discrete Mathematics With ApplicationsProve each statement in 39-44. For every positive integer n , if A and B i , B 2 , B 3 . are any sets, then ∪ i = 1 n ( A × B i ) = A × ( ∪ i = 1 n B i )
close solutoin list

Prove each statement in 39-44. For every positive integer n , if A and B i , B 2 , B 3 . are any sets, then ∪ i = 1 n ( A × B i ) = A × ( ∪ i = 1 n B i )

BuyFind

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193
BuyFind

Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
Publisher: Cengage Learning,
ISBN: 9781337694193

Solutions

Chapter
Section
Problem 1TY
Problem 2TY
Problem 3TY
Problem 4TY
Problem 5TY
Problem 6TY
Problem 1ES
Problem 2ES
Problem 3ES
Problem 4ES
Problem 5ES
Problem 6ES
Problem 7ES
Problem 8ES
Problem 9ES
Problem 10ES
Problem 11ES
Problem 12ES
Problem 13ES
Problem 14ES
Problem 15ES
Problem 16ES
Problem 17ES
Problem 18ES
Problem 19ES
Problem 20ES
Problem 21ES
Problem 22ES
Problem 23ES
Problem 24ES
Problem 25ES
Problem 26ES
Problem 27ES
Problem 28ES
Problem 29ES
Problem 30ES
Problem 31ES
Problem 32ES
Problem 33ES
Problem 34ES
Problem 35ES
Problem 36ES
Problem 37ES
Problem 38ES
Problem 39ES
Problem 40ES
Problem 41ES
Problem 42ES
Problem 43ES
Problem 44ES
Chapter 6.2, Problem 43ES
Textbook Problem

Prove each statement in 39-44.

For every positive integer n, if A and B i , B 2 , B 3 . are any sets, then

∪ i = 1 n ( A × B i ) = A × ( ∪ i = 1 n B i )

Expert Solution

Want to see the full answer?

Check out a sample textbook solution.See solution
Chapter 6.2,
Problem 42ES
Chapter 6.2,
Problem 44ES

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Solution

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.

Chapter 6 Solutions

Discrete Mathematics With Applications
Show all chapter solutions
Ch. 6.1 - The notation is read”______” and means that___Ch. 6.1 - To use an element argument for proving that a set...Ch. 6.1 - To disprove that a set X is a subset of set Y, you...Ch. 6.1 - An element x is in AB if , and only if,_______Ch. 6.1 - An element x in AB if, and only if,______Ch. 6.1 - An element x is in B-A if, and only if,______Ch. 6.1 - An elements x is in Acif, and only if.______Ch. 6.1 - The empty set is a set with ______Ch. 6.1 - The power set of a set A is _____Ch. 6.1 - Sets A and B are disjoint if, and only...
Ch. 6.1 - A collection of nonempty set is a partition of a...Ch. 6.1 - In each of (a)-(f), answer the following question:...Ch. 6.1 - Complete the proof from Example 6.1.3: Prove that...Ch. 6.1 - Let sets R, S, and T be defined as follows:...Ch. 6.1 - Let A={nZn=5rforsomeintegerr} and...Ch. 6.1 - Let C={nZn=6r5forsomeintegerr} and...Ch. 6.1 - Let...Ch. 6.1 - ...Ch. 6.1 - Write in words how to end to read each of the...Ch. 6.1 - Complete the following sentences without using the...Ch. 6.1 - ...Ch. 6.1 - Let the universal set be R, the set of all real...Ch. 6.1 - Let the universal set be R, the set of all real...Ch. 6.1 - Let S be the set of all strings of 0’s and 1’s of...Ch. 6.1 - In each of the following, draw a Venn diagram for...Ch. 6.1 - In each of the following, draw a Venn diagram for...Ch. 6.1 - Let A={a,b,c},B={b,c,d} , and C={b,c,e} a. Find...Ch. 6.1 - Consider the following Venn diagram. For each of...Ch. 6.1 - a. Is the number 0 in ? Why? b. Is ={} ? Why ? c....Ch. 6.1 - Let Ai={i,i2} for each integer i=1,2,3,4. a....Ch. 6.1 - Let Bi={xR0xi} for each integer i=1,2,3,4. a....Ch. 6.1 - Let Ci={i,i} for each nonnegative integer i.Ch. 6.1 - Let Di={xR-ixi}=[i,i] for each nonnegative integer...Ch. 6.1 - Let Vi={xR1ix1i}=[1i,1i] for each positive integer...Ch. 6.1 - Let Wi={xRxi}=(i,) for each nonnegative integer i....Ch. 6.1 - Let Ri={xR1x1+1i}=[1,1+1i]foreachpositiveintegeri....Ch. 6.1 - Let Si={xR1x1+1i}=(1,1+1i) for each positive...Ch. 6.1 - a. Is {{a, d, e}, {b, c}, {d, f }} a partition of...Ch. 6.1 - Let E be the set of all even integers and O the...Ch. 6.1 - Let R be the set of all real number. Is a...Ch. 6.1 - Let Z be the set of all integers and let...Ch. 6.1 - Suppose A={1,2} and B={2,3} . Find each of the...Ch. 6.1 - Suppose A={1} and B={u,v} . Find P(AB) . Suppose...Ch. 6.1 - Find P() FindP(p()). Find p(p(p())) .Ch. 6.1 - Let A1={1},A2={u,v},andA3={m,n}. Find each of the...Ch. 6.1 - Let...Ch. 6.1 - Trace the action of Algorithm 6,1,1 on the...Ch. 6.1 - Trace the action of Algorithm 6,1,1 on the...Ch. 6.1 - Write an algorithm to determine whether a given...Ch. 6.2 - To prove that a set X is a subset of a set you...Ch. 6.2 - To prove that a set X is a subset of a set AB, you...Ch. 6.2 - To prove that a set ABis a subset of a set X, you...Ch. 6.2 - To prove that a set AB is a subset of a set X, you...Ch. 6.2 - To prove that a set X equals a set Y, you prove...Ch. 6.2 - To prove that a set X does not equal a set Y, you...Ch. 6.2 - To say that an element is in A(BC) means that it...Ch. 6.2 - The following are two proofs that for all sets A...Ch. 6.2 - In 3 and 4, supply explanations of the steps in...Ch. 6.2 - Theorem: For all sets A and B, if AB , then ABB.Ch. 6.2 - Prove that for all set A and B, (BA)=BAe .Ch. 6.2 - Let and stand for the words “intersection” and...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an elements argument to prove each statement...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Find the mistake in the following : proof” that...Ch. 6.2 - Find the mistake in all the following “proof.”...Ch. 6.2 - Find the mistake in the following “proof” that for...Ch. 6.2 - Consider the Venn diagram below. Illustrate one of...Ch. 6.2 - Fill in the blanks in the following proof that for...Ch. 6.2 - Use the element method for proving a set equals...Ch. 6.2 - Use the element method for proving a set equals...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Use an element argument to prove each statement in...Ch. 6.2 - Prove each statement is 39-44. For all sets A and...Ch. 6.2 - Prove each statement in 39-44. For every positive...Ch. 6.2 - Prove each statement in 39-44. For every positive...Ch. 6.2 - Prove each statement in 39-44. For every positive...Ch. 6.2 - Prove each statement in 39-44. For every positive...Ch. 6.2 - Prove each statement in 39-44. For every positive...Ch. 6.3 - Given a proposed set identity set identity...Ch. 6.3 - When using algebraic method for proving a set...Ch. 6.3 - When applying a property from Theorem 6.2.2, it...Ch. 6.3 - For each of 1-4 find a counterexample to show that...Ch. 6.3 - For each of 1-4 find a counterexample to show that...Ch. 6.3 - For each of 1-4 find a counterexample to show that...Ch. 6.3 - For each of 1-4 find a counterexample to show that...Ch. 6.3 - For each of 5—21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that I true...Ch. 6.3 - For each of 5-21 prove each statement that I true...Ch. 6.3 - For each of 5—21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that I true...Ch. 6.3 - For each of 5-21 prove each statement that I true...Ch. 6.3 - For each of 5-21 prove each statement that I true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that I true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - For each of 5-21 prove each statement that is true...Ch. 6.3 - Write a negation for each of the following...Ch. 6.3 - Let S={a,b,c} and for each integer i = 0, 1, 2, 3,...Ch. 6.3 - Let A={t,u,v,w} , and let S1 be the set of all...Ch. 6.3 - Use mathematical induction to prove that for every...Ch. 6.3 - The following problem, devised by Ginger Bolton,...Ch. 6.3 - In 27 and 28 supply a reason fro each step in the...Ch. 6.3 - In 27 and 28 supply a reason fro each step in the...Ch. 6.3 - Some steps are missing from the following proof...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30—40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 30-40, construct an algebraic proof for the...Ch. 6.3 - In 41-13 simple the given expression. Cite a...Ch. 6.3 - In 41-43 simplify the given expression. Cite a...Ch. 6.3 - In 41-43 simlify the given expression. Cite a...Ch. 6.3 - Consider the following set property: For all sets...Ch. 6.3 - Consider the following set property: For all sets...Ch. 6.3 - Let A={1,2,3,4},B={3,4,5,6}, and C={5,6,7,8} Find...Ch. 6.3 - Refer to the definition of symmetric difference...Ch. 6.3 - Refer to the definition of symmetric difference...Ch. 6.3 - Refer to the definition of symmetric difference...Ch. 6.3 - Refer to the definition of symmetric difference...Ch. 6.3 - Refer to the definition of symmetric difference...Ch. 6.3 - Refer to the definition of symmetric difference...Ch. 6.3 - Derive the set identity A(AB)=A from the...Ch. 6.3 - Derive the set identity A(AB)=A from the...Ch. 6.4 - In the comparison between the structure of the set...Ch. 6.4 - The operations of + and in a Boolean algebra are...Ch. 6.4 - Russell showed that the following proposed “set...Ch. 6.4 - In 1-3 assume that B is a Boolean algebra with...Ch. 6.4 - In 1-3 assume that B is a Boolean algebra with...Ch. 6.4 - In 1-3 assume that B is a Boolean algebra with...Ch. 6.4 - In 4—10 assume that B is a Boolean algebra with...Ch. 6.4 - In 4—10 assume that B is a Boolean algebra with...Ch. 6.4 - In 4—10 assume that B is a Boolean algebra with...Ch. 6.4 - In 4—10 assume that B is a Boolean algebra with...Ch. 6.4 - In 4—10 assume that B is a Boolean algebra with...Ch. 6.4 - In 4—10 assume that B is a Boolean algebra with...Ch. 6.4 - In 4—10 assume that B is a Boolean algebra with...Ch. 6.4 - Let S = {O, 1}, and define operations + and · on S...Ch. 6.4 - Exercises 12-15 provide an outline for a proof...Ch. 6.4 - Exercises 12-15 provide an outline for a proof...Ch. 6.4 - Exercises 12-15 provide an outline for a proof...Ch. 6.4 - Exercises 12-15 provide an outline for a proof...Ch. 6.4 - In 16-21 determine wheter each sentence is a...Ch. 6.4 - In 16-21 determine wheter each sentence is a...Ch. 6.4 - In 16-21 determine where each sentence is a...Ch. 6.4 - In 16-21 determin whether each sentence is a...Ch. 6.4 - In 16-21 determine wherether each sentence is a...Ch. 6.4 - In 16-21 determine wherether each sentence is a...Ch. 6.4 - (a) Assuming that the following senetec is a...Ch. 6.4 - The following two sentences were devised by the...Ch. 6.4 - Can there exist a cimputer program that has as...Ch. 6.4 - Can there exist a book that refers to all those...Ch. 6.4 - Some English adjectives are descriptive of...Ch. 6.4 - As strange as it may seem, it is possible to give...Ch. 6.4 - Is there an alogroithm whichm for a fixed quantity...Ch. 6.4 - Use a technique similar to that used to derive...

Additional Math Textbook Solutions

Find more solutions based on key concepts
Show solutions
Given the following barrel scale, thimble scale, and vernier scale settings of a 0.0001-inch micrometer, determ...

Mathematics For Machine Technology

Wite each sentence in symbolic form. Represent each simple statement in the sentence with the letter indicated ...

Mathematical Excursions (MindTap Course List)

37. Prove the Quotient Rule for differentiation. (Hint: Add to the expanded numerator and use steps similar to...

Mathematical Applications for the Management, Life, and Social Sciences

In Exercise 710, you are given the final simplex tableau for the dual problem. Give the solution to the primal ...

Finite Mathematics for the Managerial, Life, and Social Sciences

Evaluate expressions in Exercises 3756, rounding your answer to four significant digits where necessary. (1)2

Finite Mathematics

Factor: 36y218y3+54y4

Elementary Technical Mathematics

Solve the Sudoku puzzles in Exercises 5964.

Mathematics: A Practical Odyssey

Refer to the data presented in exercise 2. The estimated regression equation for these data is = 18.37 + 2.01x...

Statistics for Business & Economics, Revised (MindTap Course List)

Convert each expression in Exercises 25-50 into its technology formula equivalent as in the table in the text. ...

Applied Calculus

(a) Approximate f by a Taylor polynomial with degree n at the number a. (b) Use Taylors Inequality to estimate ...

Single Variable Calculus: Early Transcendentals

What is the primary threat to internal validity for a study that compares different groups of participants?

Research Methods for the Behavioral Sciences (MindTap Course List)

At time t = 0, 20 identical components are tested. The lifetime distribution of each is exponential with parame...

Probability and Statistics for Engineering and the Sciences

In Exercises 1-4, use the graph of the function f to find approximations of the given values. a. f(1) b. f(0) c...

Finite Mathematics and Applied Calculus (MindTap Course List)

Describe how the presence of possible outliers might be identified on (a) histograms. (b) dot plots. (c) stem-a...

Understanding Basic Statistics

Each leg of an isosceles right triangle has a length of 62 in. What is the length of the hypotenuse?

Elementary Geometry for College Students

22. The demand for a product of Carolina Industries varies greatly from month to month. The probability distrib...

Essentials Of Statistics For Business & Economics

Solve the following for the portion. What is the portion if the base is 980 and the rate is 55%?

Contemporary Mathematics for Business & Consumers

In a survey of 1000 women age 22 to 35 who work full time, 540 indicated that they would be willing to give up ...

Introduction To Statistics And Data Analysis

Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard funct...

Single Variable Calculus: Early Transcendentals, Volume I

The length of the are r = eθ for 0 ≤ θ ≤ π is given by:

Study Guide for Stewart's Multivariable Calculus, 8th

Calculate the volume generated by rotating the region bounded by the curves y = ln x, y = 0, and x = 2 about ea...

Calculus: Early Transcendentals

Approximation In Exercises 3-6, approximate the integral Rf(x,y)dA by dividing the rectangle R with vertices (0...

Multivariable Calculus

For these exercises, round all estimates to one decimal place. A Tabulated Function The following table gives v...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

If g is the inverse function of f(x)=2x+lnx, find g(2).

Calculus (MindTap Course List)

The graph of a function is shown in the figure. Make a rough sketch of an antiderivative F, given that F(0) = 1...

Single Variable Calculus

For Problems 55-94, simplify each numerical expression. Objectives 7 435(1152310)

Intermediate Algebra

Consider the information in Exercise 2, but suppose you know that the area of the region defined by the interse...

Elementary Geometry For College Students, 7e

Evaluating a Sum In Exercises 1924, use the properties of summation and Theorem 4.2 to evaluate the sum. Use th...

Calculus of a Single Variable

SOC A scale measuring prejudice has been administered to a large sample of respondents. The distribution of sco...

Essentials Of Statistics

Simplify each radical expression. 1(35)2

Trigonometry (MindTap Course List)

(a) When we multiply two powers with the same base, we __________ the exponents. So 34 35 = __________. (b) Wh...

Precalculus: Mathematics for Calculus (Standalone Book)

Finding the Slope of a Graph In Exercises 25-32, find dy / dx by implicit differentiation. Then find the slope ...

Calculus (MindTap Course List)

A recent study indicates that people tend to select video game avatars with characteristics similar to those of...

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Self Check Simplify: a. 2312 b. x20x5

College Algebra (MindTap Course List)

f(x) = (x + 3)3/2

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

One of the primary advantages of a repeated-measures design, compared to independent-measures, is that it reduc...

Statistics for The Behavioral Sciences (MindTap Course List)

Solve the differential equation using (a) undetermined coefficients and (b) variation of parameters. 20. y" 2y...

Multivariable Calculus

Young Professional Magazine Young Professional magazine was developed for a target audience of recent college g...

STATISTICS F/BUSINESS+ECONOMICS-TEXT

True or False? In Exercises 9398, determine whether the statement is true or false. If it is false, explain why...

Calculus

Explain the distinction between naturalistic observation and contrived observation, and describe the situations...

Research Methods for the Behavioral Sciences (MindTap Course List)

Repeat Exercise 23 for the code consisting of the following code words. 000000000010110010111001110001001010101...

Elements Of Modern Algebra

Finding the Equation of a Circle In Exercises 3340, find the standard form of the equation of the circle with t...

Calculus: An Applied Approach (MindTap Course List)

Finding the Slope of a Graph In Exercises 31-40, find the slope of the graph of the function at the given point...

Calculus: Early Transcendental Functions

Find two vectors in opposite directions that are orthogonal to the vector u. u=3,1,2

Calculus: Early Transcendental Functions (MindTap Course List)

ln |2x + 1| + C 2 ln |2x + 1| + C

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

For the following exercises, set up a table to sketch the graph of each function using the following values: x ...

Calculus Volume 1

Is x = 0 an ordinary point of the differential equation y+5xy+xy=0?

A First Course in Differential Equations with Modeling Applications (MindTap Course List)

In the following exercises, use the identity AAf(x)dx=A0f(x)dx+0Af(x)dx to compute the integrals. 97. 24( x3)3d...

Calculus Volume 2

Assume the null hypothesis states that the mean is at most 12. Is this a left-tailed, right-tailed, or two-tail...

Introductory Statistics

Writing a Logarithmic Equation In Exercises 33-36, write the exponential equation in logarithmic form. For exam...

College Algebra

1. A process that is in control has a mean of = 12.5 and a standard deviation of = .8. Construct the control...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

bartleby
  • Contact Research (Essays)
  • High School Textbooks
  • Literature Guides
  • Essay Help
  • Mobile App
    • © 2021 bartleby. All Rights Reserved.