Spring2011
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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 Spring '08
 staff
 Mathematical Induction, Inductive Reasoning, Trigraph, Natural number, Ih

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