Problem 12.2: Two Expressions Rachel's argument: Let n& m represent two integers. Then 2n& 2m are two even integers. 2n 2m is the sum of two even integers. But 2n+ 2m= 2(n+ m) 2(n+ m) is an even integer. So the sum of two even integers is even. Provide reasons for each step of Rachel's argument. Does her argument prove the sum of any two even integers is A. even? Adapted from CMP2: Say It with symbols Page 4 of 6 hy 48

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Problem 12.2: Two Expressions
Rachel's argument:
Let n& m represent two integers.
Then 2n& 2m are two even
integers.
2n 2m is the sum of two even
integers.
But 2n+ 2m= 2(n+ m)
2(n+ m) is an even integer.
So the sum of two even integers
is even.
Provide reasons for each step
of Rachel's argument. Does
her argument prove the sum
of any two even integers is
A.
even?
Adapted from CMP2: Say It with symbols
Page 4 of 6
hy
48
Transcribed Image Text:Problem 12.2: Two Expressions Rachel's argument: Let n& m represent two integers. Then 2n& 2m are two even integers. 2n 2m is the sum of two even integers. But 2n+ 2m= 2(n+ m) 2(n+ m) is an even integer. So the sum of two even integers is even. Provide reasons for each step of Rachel's argument. Does her argument prove the sum of any two even integers is A. even? Adapted from CMP2: Say It with symbols Page 4 of 6 hy 48
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