About the Author 

x  
To the Student 

xi  
To the Instructor 

xii  
Acknowledgments 

xiii  
Applications Index 

xxi  

Problem Solving and Critical Thinking 


2  (30) 

Inductive and Deductive Reasoning 


4  (7) 


11  (8) 


19  (13) 


28  (1) 


28  (2) 


30  (2) 


32  (42) 


34  (9) 

Venn Diagrams and Subsets 


43  (10) 

Venn Diagrams and Set Operations 


53  (5) 

Set Operations and Venn Diagrams with Three Sets 


58  (7) 

Surveys and Cardinal Numbers 


65  (9) 


71  (1) 


72  (1) 


73  (1) 


74  (72) 

Statements, Negations, and Quantified Statements 


76  (6) 

Compound Statements and Connectives 


82  (9) 

Truth Tables for Negation, Conjunction, and Disjunction 


91  (12) 

Truth Tables for the Conditional and Biconditional 


103  (10) 

Equivalent Statements, Conditional Statements, and De Morgan's Laws 


113  (10) 

Arguments and Truth Tables 


123  (10) 

Arguments and Euler Diagrams 


133  (13) 


141  (2) 


143  (1) 


144  (2) 

Number Representation and Calculation 


146  (30) 

Our HinduArabic System and Early Positional Systems 


148  (7) 

Number Bases in Positional Systems 


155  (6) 

Computation in Positional Systems 


161  (6) 

Looking Back at Early Numeration Systems 


167  (9) 


172  (1) 


173  (2) 


175  (1) 

Number Theory and the Real Number System 


176  (66) 

Number Theory: Prime and Composite Numbers 


178  (9) 

The Integers; Order of Operations 


187  (10) 


197  (9) 


206  (8) 

Real Numbers and Their Properties 


214  (6) 

Exponents and Scientific Notation 


220  (9) 

Arithmetic and Geometric Sequences 


229  (13) 


237  (2) 


239  (2) 


241  (1) 

Algebra: Equations and Inequalities 


242  (64) 

Algebraic Expressions and Formulas 


244  (9) 


253  (11) 

Applications of Linear Equations 


264  (8) 

Ratio, Proportion, and Variation 


272  (11) 

Solving Linear Inequalities 


283  (7) 

Solving Quadratic Equations 


290  (16) 


302  (1) 


303  (2) 


305  (1) 

Algebra: Graphs, Functions, and Linear Systems 


306  (64) 


308  (11) 

Linear Functions and Their Graphs 


319  (8) 

Quadratic Functions and Their Graphs 


327  (10) 


337  (5) 

Systems of Linear Equations 


342  (13) 

Linear Inequalities in Two Variables 


355  (5) 


360  (10) 


366  (1) 


367  (2) 


369  (1) 

Consumer Mathematics and Financial Management 


370  (54) 


372  (9) 


381  (9) 


390  (11) 

The Cost of Home Ownership 


401  (8) 

Investing in Stocks, Bonds, and Mutual Funds 


409  (15) 


419  (1) 


420  (3) 


423  (1) 


424  (28) 

Measuring Length; The Metric System 


426  (9) 

Measuring Area and Volume 


435  (8) 

Measuring Weight and Temperature 


443  (9) 


449  (1) 


450  (1) 


451  (1) 


452  (70) 

Points, Lines, Planes, and Angles 


454  (8) 


462  (9) 

Polygons, Quadrilaterals, and Perimeter 


471  (6) 


477  (9) 


486  (7) 

Right Triangle Trigonometry 


493  (11) 

Beyond Euclidean Geometry 


504  (18) 


514  (1) 


515  (5) 


520  (2) 

Counting Methods and Probability Theory 


522  (68) 

The Fundamental Counting Principle 


524  (6) 


530  (7) 


537  (6) 

Fundamentals of Probability 


543  (8) 

Probability with the Fundamental Counting Principle, Permutations, and Combinations 


551  (6) 

Events Involving Not and Or; Odds 


557  (11) 

Events Involving And; Conditional Probability 


568  (9) 


577  (13) 


584  (1) 


585  (4) 


589  (1) 


590  (72) 

Sampling, Frequency Distributions, and Graphs 


592  (13) 

Measures of Central Tendency 


605  (13) 


618  (8) 


626  (16) 

Scatter Plots, Correlation, and Regression Lines 


642  (20) 


655  (1) 


656  (4) 


660  (2) 


662  (23) 


664  (9) 

Rotational Symmetry, Groups, and Clock Arithmetic 


673  (12) 


683  (1) 


683  (2) 


685  
Answers to Selected Exercises 

AA1  
Subject Index 

I1  
Photo Credits 

P1  