10. Consider the equation below, where a, b, and c are whole numbers. a +b - c= a - c+b (a) Is this statement always true, sometimes true, or never true? Justify your response. (b) Torsten said that this statement cannot always be true because subtraction is not com- mutative. What is the flaw in Torsten's argument? (Be sure you are addressing the flaw in his argument, not in his conclusion.)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Consider the equation below, where a, b, and c are whole numbers.**

\[ a + b - c = a - c + b \]

(a) Is this statement always true, sometimes true, or never true? Justify your response.

(b) Torsten said that this statement cannot always be true because subtraction is not commutative. What is the flaw in Torsten's argument? (Be sure you are addressing the flaw in his argument, not in his conclusion.)
Transcribed Image Text:**Consider the equation below, where a, b, and c are whole numbers.** \[ a + b - c = a - c + b \] (a) Is this statement always true, sometimes true, or never true? Justify your response. (b) Torsten said that this statement cannot always be true because subtraction is not commutative. What is the flaw in Torsten's argument? (Be sure you are addressing the flaw in his argument, not in his conclusion.)
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