Please help explain how to solve this! It has to be written in a proof and I am still struggling how to write it as a proof. TIA! Suppose a, b, and c are real numbers and a > b  and c<0.  Use the order properties in Section 2.2 of Introduction to Analysis by Maxwell Rosenlicht textbook to prove  ac < bc.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 38E
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Please help explain how to solve this! It has to be written in a proof and I am still struggling how to write it as a proof. TIA!

Suppose a, b, and c are real numbers and a > b  and c<0.  Use the order properties in Section 2.2 of Introduction to Analysis by Maxwell Rosenlicht textbook to prove  ac < bc.

 

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