Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

In Exercises 29 to 32, the claims made are not always true. Cite a counterexample to show why each claims fails.

If a ≠ b and b ≠ c , then a ≠ c .

To determine

To prove:

The given claims made are not always true and give counter example.

Consider the following claim,

“If a≠b and b≠c, then a≠c.”

The given statement is not always true.

Let assume that a=−3,b=−2,c=−3

Then substitute these values in the above condition to get the following,

a≠b⇒−3≠−2b≠c⇒−2≠−3

Check out a sample textbook solution.

Chapter A Solutions

Additional Math Solutions

Calculus: Early Transcendentals

Mathematical Excursions (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Calculus (MindTap Course List)

Multivariable Calculus

Applied Calculus

Calculus: An Applied Approach (MindTap Course List)

Elementary Technical Mathematics

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

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

Finite Mathematics

Finite Mathematics and Applied Calculus (MindTap Course List)

Statistics for The Behavioral Sciences (MindTap Course List)

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus: Early Transcendental Functions

Intermediate Algebra

Single Variable Calculus

Essentials Of Statistics

Probability and Statistics for Engineering and the Sciences

Mathematical Applications for the Management, Life, and Social Sciences

Understanding Basic Statistics

Trigonometry (MindTap Course List)

Elements Of Modern Algebra

Calculus of a Single Variable

Contemporary Mathematics for Business & Consumers

Single Variable Calculus: Early Transcendentals

Finite Mathematics for the Managerial, Life, and Social Sciences

Study Guide for Stewart's Multivariable Calculus, 8th

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

Calculus: Early Transcendental Functions (MindTap Course List)

Mathematics For Machine Technology

College Algebra (MindTap Course List)

Research Methods for the Behavioral Sciences (MindTap Course List)

Calculus (MindTap Course List)

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

Multivariable Calculus

Research Methods for the Behavioral Sciences (MindTap Course List)

Introduction To Statistics And Data Analysis

STATISTICS F/BUSINESS+ECONOMICS-TEXT

MathGeometryElementary Geometry for College Students6th Edition

Elementary Geometry for College St...

Solutions

Elementary Geometry for College St...

In Exercises 29 to 32, the claims made are not always true. Cite a counterexample to show why each claims fails. If a ≠ b and b ≠ c , then a ≠ c .

Still sussing out bartleby?

The Solution to Your Study Problems

Chapter A Solutions

Additional Math Solutions

Find more solutions based on key concepts

Evaluate the integral. 26. 0/4sec6tan6d

In Exercises 23 to 40, let U {p, q, r, s, t}, D = (p. r, s, t}, E = {q, s), F = {p, t}, and G = {s}. Determine ...

A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax3 + bx2 + cx + d, where a 0. (...

Three alleles alternative versions of a gene A, B, and O determine the four blood types A AA or AO, B BB or BO,...

(a) Show that the series n=1nn(2n)! is convergent. (b) Deduce that limnnn(2n)!=0.

Solve the equations in Exercises 126. (x+1)3+(x+1)5=0

Graphing Linear Equations in Exercises 17-26, sketch the graph of the linear equation. Use a graphing utility t...

Evaluate each expression: 32+12323

What term is used for the statistical techniques that use sample data to draw conclusions about the population ...

In Exercises 39-50, sketch the graph of the function with the given rule. Find the domain and range of the func...

Convert the expressions in Exercises 31-36 to positive exponent form. 34x2/3

In Exercises 1728, use the logarithm identities to obtain the missing quantity.

Stephens, Atkins, and Kingston (2009) conducted a research study demonstrating that swearing can help reduce pa...

Real Zeros of a Polynomial A polynomial P is given. (a) Find all the real zeros of P. (b) Sketch a graph of P. ...

Finding a Derivative In Exercises 57-82, find the derivative of the function. f(x)=xlnx

For Problems 5-54, perform the following operations with real numbers. Objectives 3-6 (12)(45)

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or gi...

For the following sample data, construct five different interval estimates of the population mean, one each for...

Evaluate the following: a. (6) b. (5/2) c. F(4; 5) (the incomplete gamma function) and F(5; 4) d. P(X 5) when ...

In Problems 11-14, complete each table and predict the limit, if it exists. 13. X f(x) 0.9 0.99 0.999 1.00...

Critical Thinking Consider the following events for a driver selected at random from the general population: A ...

Write each expression as an equivalent algebric expression involving only x. (Assume x is positive.) cos(2sin1x...

An element x in a multiplicative group G is called idempotent if x2=x. Prove that the identity element e is the...

Using the Direct Comparison Test In Exercises 5-16, use the Direct Comparison Test to determine the convergence...

For the following transactions, calculate the credit given for the partial payment and the net amount due on th...

Suppose that n=0cnxn converges when x = 4 and diverges when x = 6. What can be said about the convergence or di...

The payoff matrix for a game is [332311121] a. Find the expected payoff to the roe player if the row player R u...

For the vector function r(t) with unit tangent T, the principal unit normal vector is:

Rectangular coordinates of the point with polar coordinates are: (−1, 0) (0, 1) (0, −1) (1, 0)

Volume Find the volume of the solid of intersection of the three cylinders x2+z2=1,y2+z2=1andx2+y2=1 (see figur...

Solve each of the following equations using the addition principle of equality. Check each answer. 5.07=r3.07

True or False ? In Exercises 103-108, determine whether the statement is true or false. If it is false, explain...

You should be able to complete these vocabulary ad concept statements before you proceed to the practice exerci...

Describe the difference between inductive and deductive reasoning and give an example of each.

Centroid In Exercises 77 and 78, find the centroid of the region bounded by the graphs of the equations using a...

Cooper Realty is a small real estate company located in Albany, New York, specializing primarily in residential...

Using an Integrating Factor In Exercises 33-36, use the integrating factor to find the general solution of the ...

Describe, compare, and contrast the five research strategies (descriptive, correlational, experimental, quasi-e...

The power of a test is influenced by the sample size and the choice of significance level. a. Explain how incre...

Given that z is a standard normal random variable, compute the following probabilities. a. P(0 z 83) b. P(1.5...

Math
Geometry Elementary Geometry for College Students 6th Edition

In Exercises 29 to 32, the claims made are not always true. Cite a counterexample to show why each claims fails.

If a ≠ b and b ≠ c , then a ≠ c .