A student claims she can prove that subtraction of integers is commutative. She points out that if a and b are integers, then a-b=a+b. Since addition is commutative, so is subtraction. What is your response? Choose the correct answer below. OA. The student is incorrect. Although a-b=a+ - b, the argument is not complete because a-b=a+ -b and b-a=b+-a and a+ -b*b+ -a. OB. The student is correct. Subtraction is commutative because a-b=a+ -b and b-a=b+-a and a+b=b+-a.

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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A student claims she can prove that subtraction of integers is commutative. She points out that if a and b are integers, then a - b = a + b. Since addition is commutative, so is subtraction. What is
your response?
Choose the correct answer below.
A. The student is incorrect. Although a - b = a + b, the argument is not complete because a - b = a + b and b-a = b + -a and a+ - b‡b + -a.
B. The student is correct. Subtraction is commutative because a-b=a+b and b - a = b + -a and a+b=b+ - a.
Transcribed Image Text:A student claims she can prove that subtraction of integers is commutative. She points out that if a and b are integers, then a - b = a + b. Since addition is commutative, so is subtraction. What is your response? Choose the correct answer below. A. The student is incorrect. Although a - b = a + b, the argument is not complete because a - b = a + b and b-a = b + -a and a+ - b‡b + -a. B. The student is correct. Subtraction is commutative because a-b=a+b and b - a = b + -a and a+b=b+ - a.
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