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(a) When an implication p =→ q is used as a theorem, we refer to q as the conclusion. (b) A statement that is always false is called a lie. (c) The converse of p = q is q → p.

(a) When an implication p =→ q is used as a theorem, we refer to q as the conclusion. (b) A statement that is always false is called a lie. (c) The converse of p = q is q → p.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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**Mark each statement True or False. Justify each answer.** (a) When an implication \( p \Rightarrow q \) is used as a theorem, we refer to \( q \) as the conclusion. (b) A statement that is always false is called a lie. (c) The converse of \( p \Rightarrow q \) is \( q \Rightarrow p \).
Transcribed Image Text:**Mark each statement True or False. Justify each answer.** (a) When an implication \( p \Rightarrow q \) is used as a theorem, we refer to \( q \) as the conclusion. (b) A statement that is always false is called a lie. (c) The converse of \( p \Rightarrow q \) is \( q \Rightarrow p \).
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When an implication   p-q  is used as a theorem, we always refer to q as the conclusion.

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