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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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Chapter
Section
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem

True or False

Label each of the following statements as either true or false.

| x + y | 2 | x | 2 + | y | 2 for all x and y in Z .

To determine

Whether the statement, “|x+y|2|x|2+|y|2 for all x and y in Z” is true or false.

Explanation

Consider x=y =1.

Calculate |x+y|2.

|x+y|2=|11|2=|2|2=4

Calculate |x|2+|y|2

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