1. Let C be a contradiction (i.e. a statement that's always false) and let X be any statement. Use a truth table to show that (-X C) → X is a tautology. 2. Express the following functions as piecewise defined functions without using absolute value signs (a) f(x) 1r+5] (b) g(x) = | - 3z %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
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1. Let C be a contradiction (i.e. a statement that's always false) and let X be any statement, Use a truth
table to show that (-X C)→X is a tautology.
2. Express the following functions as piecewise defined functions without using absolute value signs
(a) f(x) = |a+5|
(b) g(x) = -3z|
Transcribed Image Text:1. Let C be a contradiction (i.e. a statement that's always false) and let X be any statement, Use a truth table to show that (-X C)→X is a tautology. 2. Express the following functions as piecewise defined functions without using absolute value signs (a) f(x) = |a+5| (b) g(x) = -3z|
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