1- Following statement is given to you "If m and n are even integers, then mn is divisible by 4." The student used following steps to prove the given statement. If m and n are even integers then there exists integers a and b such that m = 2a andn= 2b Therefore mn can be written mn= (2a)(2b). mn=4ab Since ab is an integer, mn is 4 times an integer so it is divisible by 4. What is the name of the proof method which is used in the solution? a) O Contrapositive proof b) O Direct Proof c) O Mathematical Induction d) O Proof by Contradiction

1- Following statement is given to you "If m and n are even integers, then mn is divisible by 4." The student used following steps to prove the given statement. If m and n are even integers then there exists integers a and b such that m = 2a andn= 2b Therefore mn can be written mn= (2a)(2b). mn=4ab Since ab is an integer, mn is 4 times an integer so it is divisible by 4. What is the name of the proof method which is used in the solution? a) O Contrapositive proof b) O Direct Proof c) O Mathematical Induction d) O Proof by Contradiction

Name: 1- Following statement is given to you"If m and n are even integers,
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Description: 1- Following statement is given to you"If m and n are even integers, then mn is divisible by 4."The student used following steps to prove the given statement.If m and n are even integers then there exists integers a and b such thatm = 2a andn= 2bThe

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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