18 - Following statement is given to you "If m is an even integer, then m+7 is odd." The student used following steps to prove the given statement. If m is an even integer then m=2k where k is an integer Then m+7 can be written as m+7=2k+7 =2k+6+1 =2(k+3)+1 , a=k+3 =2a+1 which is an odd integer What is the name of the proof method which is used in the solution? a) O Proof by Contradiction b) O Direct Proof c) O Contrapositive proof d) O Mathematical Induction

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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18 - Following statement is given to you
"If m is an even integer, then m+7 is odd."
The student used following steps to prove the given statement.
If m is an even integer then m=2k where k is an integer
Then m+7 can be written as m+7=2k+7
=2k+6+1
=2(k+3)+1
=2a+1 which is an odd integer
a=k+3
What is the name of the proof method which is used in the solution?
a) O Proof by Contradiction
b) O Direct Proof
c) O Contrapositive proof
d) O Mathematical Induction
Transcribed Image Text:18 - Following statement is given to you "If m is an even integer, then m+7 is odd." The student used following steps to prove the given statement. If m is an even integer then m=2k where k is an integer Then m+7 can be written as m+7=2k+7 =2k+6+1 =2(k+3)+1 =2a+1 which is an odd integer a=k+3 What is the name of the proof method which is used in the solution? a) O Proof by Contradiction b) O Direct Proof c) O Contrapositive proof d) O Mathematical Induction
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