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(1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute value |x +y| of their sum is the sum [x] + ly of their absolute values. 3

(1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute value |x +y| of their sum is the sum [x] + ly of their absolute values. 3

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute value |x +y| of their sum is the sum |x + y of their absolute values. E
Transcribed Image Text:(1) Prove that the product xy of two real numbers x and y is nonnegative if and only if the absolute value |x +y| of their sum is the sum |x + y of their absolute values. E
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