Chapter A.3, Problem 6E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

Does the Transitive Property of Inequality hold true for four real numbers a, b, c, and d? That is, is the following statement true?

If

To determine

**To find:**

To show that the following statement is true,

Explanation

Consider the following statement,

Definition:

If *a* is less than *b*

*a* is greater than *b*

**Transitive Property of Inequality:**

For number a, b, and c, if

First

Then,

Then

Substitute (2) in (3) to get the following,

Substitute (1) in the above equaiton to get the following,

Sect-A.1 P-1ESect-A.1 P-2ESect-A.1 P-3ESect-A.1 P-4ESect-A.1 P-5ESect-A.1 P-6ESect-A.1 P-7ESect-A.1 P-8ESect-A.1 P-9ESect-A.1 P-10E

Sect-A.1 P-11ESect-A.1 P-12ESect-A.1 P-13ESect-A.1 P-14ESect-A.1 P-15ESect-A.1 P-16ESect-A.1 P-17ESect-A.1 P-18ESect-A.1 P-19ESect-A.1 P-20ESect-A.1 P-21ESect-A.1 P-22ESect-A.1 P-23ESect-A.1 P-24ESect-A.1 P-25ESect-A.1 P-26ESect-A.1 P-27ESect-A.1 P-28ESect-A.1 P-29ESect-A.1 P-30ESect-A.2 P-1ESect-A.2 P-2ESect-A.2 P-3ESect-A.2 P-4ESect-A.2 P-5ESect-A.2 P-6ESect-A.2 P-7ESect-A.2 P-8ESect-A.2 P-9ESect-A.2 P-10ESect-A.2 P-11ESect-A.2 P-12ESect-A.2 P-13ESect-A.2 P-14ESect-A.2 P-15ESect-A.2 P-16ESect-A.2 P-17ESect-A.2 P-18ESect-A.2 P-19ESect-A.2 P-20ESect-A.2 P-21ESect-A.2 P-22ESect-A.2 P-23ESect-A.2 P-24ESect-A.2 P-25ESect-A.2 P-26ESect-A.2 P-27ESect-A.2 P-28ESect-A.2 P-29ESect-A.2 P-30ESect-A.2 P-31ESect-A.2 P-32ESect-A.2 P-33ESect-A.2 P-34ESect-A.2 P-35ESect-A.2 P-36ESect-A.3 P-1ESect-A.3 P-2ESect-A.3 P-3ESect-A.3 P-4ESect-A.3 P-5ESect-A.3 P-6ESect-A.3 P-7ESect-A.3 P-8ESect-A.3 P-9ESect-A.3 P-10ESect-A.3 P-11ESect-A.3 P-12ESect-A.3 P-13ESect-A.3 P-14ESect-A.3 P-15ESect-A.3 P-16ESect-A.3 P-17ESect-A.3 P-18ESect-A.3 P-19ESect-A.3 P-20ESect-A.3 P-21ESect-A.3 P-22ESect-A.3 P-23ESect-A.3 P-24ESect-A.3 P-25ESect-A.3 P-26ESect-A.3 P-27ESect-A.3 P-28ESect-A.3 P-29ESect-A.3 P-30ESect-A.3 P-31ESect-A.3 P-32ESect-A.4 P-1ESect-A.4 P-2ESect-A.4 P-3ESect-A.4 P-4ESect-A.4 P-5ESect-A.4 P-6ESect-A.4 P-7ESect-A.4 P-8ESect-A.4 P-9ESect-A.4 P-10ESect-A.4 P-11ESect-A.4 P-12ESect-A.4 P-13ESect-A.4 P-14ESect-A.4 P-15ESect-A.4 P-16ESect-A.4 P-17ESect-A.4 P-18ESect-A.4 P-19ESect-A.4 P-20ESect-A.4 P-21ESect-A.4 P-22ESect-A.4 P-23ESect-A.4 P-24ESect-A.4 P-25ESect-A.4 P-26ESect-A.4 P-27ESect-A.4 P-28ESect-A.4 P-29ESect-A.4 P-30ESect-A.4 P-31ESect-A.4 P-32ESect-A.4 P-33ESect-A.4 P-34ESect-A.4 P-35ESect-A.4 P-36ESect-A.4 P-37ESect-A.4 P-38ESect-A.4 P-39ESect-A.4 P-40ESect-A.4 P-41ESect-A.5 P-1ESect-A.5 P-2ESect-A.5 P-3ESect-A.5 P-4ESect-A.5 P-5ESect-A.5 P-6ESect-A.5 P-7ESect-A.5 P-8ESect-A.5 P-9ESect-A.5 P-10ESect-A.5 P-11ESect-A.5 P-12ESect-A.5 P-13ESect-A.5 P-14ESect-A.5 P-15ESect-A.5 P-16ESect-A.5 P-17ESect-A.5 P-18ESect-A.5 P-19ESect-A.5 P-20ESect-A.5 P-21ESect-A.5 P-22ESect-A.5 P-23ESect-A.5 P-24ESect-A.5 P-25ESect-A.5 P-26ESect-A.5 P-27ESect-A.5 P-28ESect-A.5 P-29ESect-A.5 P-30ESect-A.5 P-31ESect-A.5 P-32ESect-A.5 P-33ESect-A.5 P-34ESect-A.5 P-35ESect-A.5 P-36ESect-A.5 P-37ESect-A.5 P-38ESect-A.5 P-39E

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