SophiaPretty

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Teaching Since: Jul 2017
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  • MBA,PHD, Juris Doctor
    Strayer,Devery,Harvard University
    Mar-1995 - Mar-2002

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  • Manager Planning
    WalMart
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Category > Engineering Posted 16 Oct 2017 My Price 8.00

Prove that the difference of two odd integers is even.

Need help with my homework

 

1. Prove that the difference of two odd integers is even. Give a justification at each step.

2. Prove that the sum of any two rational numbers is a rational number. Give a justification at each step. 

3. Prove by contradiction that there is no greatest integer.  

4. Prove by contraposition that for all integers n, if n2 is even then n is even.

5. Prove using mathematical induction: ∀ integers n ≥ 1, 2 + 4 + ... + 2n = n2 + n. Give justifications for each step.

 

Grading Rubric: 

Question Meets Does not Meet Question 1 20 points Innovative and correct method of solution. 

Calculations and supporting evidence are well written correct for the problem. 

Solution is neat, well-organized and well-written. 

0 points Solution not described, or not correct. 

Calculations and supporting evidence are incorrect or not present. 

Solution is unorganized and poorly written. 

Question 2 20 points Innovative and correct method of solution. 

0 points Solution not described, or not correct. 

2 

Calculations and supporting evidence are well written correct for the problem. 

Solution is neat, well-organized and well-written. 

Calculations and supporting evidence are incorrect or not present. 

Solution is unorganized and poorly written. 

Question 3 20 points Innovative and correct method of solution. 

Calculations and supporting evidence are well written correct for the problem. 

Solution is neat, well-organized and well-written. 

0 points Solution not described, or not correct. 

Calculations and supporting evidence are incorrect or not present. 

Solution is unorganized and poorly written. 

Question 4 20 points Innovative and correct method of solution. 

Calculations and supporting evidence are well written correct for the problem. 

Solution is neat, well-organized and well-written. 

0 points Solution not described, or not correct. 

Calculations and supporting evidence are incorrect or not present. 

Solution is unorganized and poorly written. 

Question 5 20 points Innovative and correct method of solution. 

Calculations and supporting evidence are well written correct for the problem. 

Solution is neat, well-organized and well-written. 

0 points Solution not described, or not correct. 

Calculations and supporting evidence are incorrect or not present. 

Solution is unorganized and poorly written.

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SophiaPretty
(5)
Status NEW Posted 16 Oct 2017 01:10 PM My Price 8.00

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