   Chapter 2.1, Problem 7TFE

Chapter
Section
Textbook Problem

True or FalseLabel 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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