hw09 sol

# hw09 sol - Spring-2011 CMSC 250 Homework 9 Due Mon NOTE Due...

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Spring-2011 CMSC 250: Homework 9 Due: Mon Apr 11, 2011 NOTE: Due AT THE BEGINNING of Recitation! COURSE WEBSITE: http://www.cs.umd.edu/ gasarch/250/S11.html (NOTE- there is a Tilda before gasarch. It may be easier to get to the course website via the dept webpage (go to class webpages) or gasarch’s homepage (it will be obvious).) NOTE- This HW is due on MONDAY so that you can turn it in and go over it BEFORE the exam on Wed April 13. 1. (0 points) What is your name? Write it clearly. Staple your HW. What is your SECTION NUMBER. WHERE and WHEN are you taking the SECOND MIDTERM. (SEE shortsyll to see WHERE.) If you cannot make the midterm time and have NOT been in contact with Dr. Gasarch about it then contact him ASAP ([email protected]). 2. (40 points) Let P ( n ) be a statement about an INTEGER n (e.g., P ( n ) is “ n can be written as the sum of two positive primes and one negative prime”). (a) Assume that P ( - 4) and ( n Z )[ P ( n - 1) P ( n )]. Give the SET of integers for which we KNOW P is true. Use proper set notation (e.g., { n Z | n is a prime } ). (Note that this is NOT the answer, just the proper FORM of the answer.) SOLUTION TO QUESTION 2a { n Z | n ≥ - 4 } . (b) Assume that

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hw09 sol - Spring-2011 CMSC 250 Homework 9 Due Mon NOTE Due...

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