Wgu C959 Discrete Mathematics I (Math 2800) Comprehensive Oa

1 WGU C959 Discrete Mathematics I (Math 2800) Comprehensive OA 2024 - Complete Exam Prep & Study Guide Unit 1: Logic and Proofs 1. Multiple Choice What is the truth value of the compound proposition ��? A) True B) False C) Cannot be determined D) Sometimes true ANSWER>>: B) False Rationale: This is a classic logical contradiction. A proposition and its negation cannot both be true at the same time, so their conjunction is always false. Key Tip: Memorize the basic truth tables for negation, conjunction, disjunction, and implicationthey are the foundation for everything else. 2. Multiple Choice Which of the following is logically equivalent to ��? A) �� B) �� C) �� D) �� ANSWER>>: B) �� Rationale: This is the contrapositive. A conditional statement is always logically equivalent to its contrapositive. For example, "If it is raining, then the ground is wet" is equivalent to "If the ground is not wet, then it is not raining."2 Key Tip: Remember that the converse (��) and inverse (��) are not equivalent to the original conditional. 3. Fill in the Blank A statement that is always true, regardless of the truth values of its variables, is called a __________. ANSWER>>: tautology