   Chapter A.3, Problem 31E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 29 to 32, the claims made are not always true. Cite a counterexample to show why each claims fails.If a < b , then a 2 < b 2 .

To determine

To prove:

The given claims made are not always true and give counter example.

Explanation

Consider the following claim,

“If a<b, then a2<b2.”

The given statement is not always true. Since if the value of a and b is positive then the given claim is true. But it is negative then the claim is fails.

Example:

Let assume that a=3,b=2

Then substitute these values in the above condition to get the following,

a2<b2(3)2<

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