iv To the Student ix Preface xi 1 Critical Thinking Skills 1 1. 1 Inductive and Deductive Reasoning 2 1. 2 Estimation Techniques 9 1. 3 Problem-Solving Procedures 20 Chapter Summary 35 Chapter Review Exercises 35 Chapter Test 39 2 Sets 41 2. 1 Set Concepts 42 2. 2 Subsets 52 2. 3 Venn Diagrams, Set Operations, and Data Representation 58 2. 4 Venn Diagrams with Three Sets and Verification of Equality of Sets 71 2. 5 Set Applications and Survey Data Analysis 80 2. 6 Infinite Sets 87 Chapter Summary 91 Chapter Review Exercises 92 Chapter Test 95 3 Logic 96 3. 1 Statements and Logical Connectives 97 3. 2 Truth Tables for Negation, Conjunction, and Disjunction 107 3. 3 Truth Tables for the Conditional and Biconditional 121 3. 4 Equivalent Statements 131 3. 5 Symbolic Arguments 144 3. 6 Euler Diagrams and Syllogistic Arguments 154 3. 7 Switching Circuits 160 Chapter Summary 166 Chapter Review Exercises 168 Chapter Test 170 Contents
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