Problem 1. The absolute value of a real number x, denoted by [x], is defined { Let x, y ER and a ≥ 0. Prove the following statements. (a) x≤ a if and only if -a ≤ x ≤a. (b) |xy| = |x|y|- (c) |x+y| ≤ |x| + |y|. as |x| = = x if x ≥ 0 -x if x < 0.
Problem 1. The absolute value of a real number x, denoted by [x], is defined { Let x, y ER and a ≥ 0. Prove the following statements. (a) x≤ a if and only if -a ≤ x ≤a. (b) |xy| = |x|y|- (c) |x+y| ≤ |x| + |y|. as |x| = = x if x ≥ 0 -x if x < 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 23E
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