   # Determine whether the given statement is true or false. Assume that x . y , and z are real numbers. a. x = y if | x | = | y | . b. x &gt; y , then x z &gt; y z . ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584

#### Solutions

Chapter
Section ### Mathematical Excursions (MindTap C...

4th Edition
Richard N. Aufmann + 3 others
Publisher: Cengage Learning
ISBN: 9781305965584
Chapter 3, Problem 10T
Textbook Problem
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## Determine whether the given statement is true or false. Assume that x. y, and z are real numbers.a. x = y if | x | = | y | .b. x > y , then x z > y z .

To determine

(a)

The truth value of each statement is to be determined.

### Explanation of Solution

Given:

It is given thatx=y, if  |x|=|y|.

Concept Used:

We use the truth table for. Ifp and q are the given statements, then

To determine

(b)

The truth value of each statement is to be determined.

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