1. True or False? If true, prove it. If false, provide a counter-example. The additive inverse of a real number a always has the opposite sign to one of a. The multiplicative inverse of a real number a always has the opposite sign to one of a. All rational numbers can be written in the form a/b where a and b are intergers.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
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1. True or False? If true, prove it. If false, provide a counter-example.

The additive inverse of a real number a always has the opposite sign to one of a.

The multiplicative inverse of a real number a always has the opposite sign to one of a.

All rational numbers can be written in the form a/b where a and b are intergers.

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