help please!!!!!!!!! Disc. Math Homework for Thursday Sept 21 Fall 2017 For Thur

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help please!!!!!!!!!

Disc. Math Homework for Thursday Sept 21 Fall 2017 For Thursday's class, write one proof for each of the following statements which is true. (at least one is true 1. The difference of any two even integers is even 2. For all integers m, if m>2 then m24 is composite. 3. The difference of the squares of any two consecutive integers is odd. These proofs will be collected and graded for the following elements: Any proof must begin with "Proof" and end with a symbol (which may be filled in; personal . Proofs must consist of complete sentences, even with math symbols taking the place of some phrases: "4" is "plus", "-" is "equals" or "is equal to", etc. Any equations must be displayed (new line, centered text). NOT in-line The first sentence of a direct proof of a universal statement should always have the same format. Use this format. . Proofs should end as soon as the final conclusion is made. Note: In no way is your grade dependent on the accuracy of your proof, or even on the accuracy of your T/F decision for a statement. (However, you must show at least one proof)

Explanation / Answer

Dear Student Thank you for using Chegg !! Let the first even integer be 2n (Multiplied by 2 since the integer is even) Let second even inte ger be 2m To prove Difference between 2 even integers is always even Now subtracting first integer from second ( 2n - 2m) =2 (n - m) which is even Hence proved

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