Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
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

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Topic Video
Question
100%
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Propositional Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS