For an element x of an ordered integral domain D, the absolute value Ix I is defined by l xl={ x if x ≥ 0 {-x if o > x Prove that - lxl ≤ x ≤ lxl for all x ϵ D.
For an element x of an ordered integral domain D, the absolute value Ix I is defined by l xl={ x if x ≥ 0 {-x if o > x Prove that - lxl ≤ x ≤ lxl for all x ϵ D.
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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For an element x of an ordered integral domain D, the absolute value Ix I is defined by
l xl={ x if x ≥ 0
{-x if o > x
Prove that - lxl ≤ x ≤ lxl for all x ϵ D.
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