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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.

If x < y , then x 2 < y 2 for all x and y in Z .

To determine

Whether the statement, “If x<y, then x2<y2 for all x and y in Z” is true or false.

Explanation

Consider x=4 and y=2 in the set of all integers Z.

Here, x<y

x2=(4)2=16

And,

y

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