 Homework 6Comments
 Exercises taken from Discrete Mathematics and its Applications,
Seventh Edition unless otherwise noted.
 You must show all of your work for each problem!
 Points will be deducted if you do not show all of your work.
 Each problem is generally worth 10 points.
Problems with multiple parts may be assigned more points if there are enough parts or
each part is significant enough.
 The Review Questions are always related to the section that will be discussed on the assignment due date.
DetailsSection  Problems  Notes


1.2  40  Look at #41 to see what sort of answer it is looking for.
 1.3  58  Briefly describe how you arrived at your answer.
 1.4  32  See the solution to #33 for an example of what it is asking for. In particular, for each one you need to: Specify the domain and define appropriate predicate(s).
 Express the statement using your predicate(s) and the appropriate quantifier(s).
 Negate the expression and then move the negation as far to the right as you can.
 Express the negation in English, phrasing it "nicely".
(This one is worth 20 points)
 1.7  2  Be very precise, using the definition of even (In particular, you cannot not say, for instance, that 10x+14y6z+12 is even. You must use algebra to make it look like 2k for some integer k. Similarly for future problems with either odd or even.). A common mistake on this kind of proof is to write it in such a way that you are essentially assuming the two numbers are the same number without realizing it.
  16  As with the previous problem, make sure you don't construct a proof that only ends up proving it for m=n.
 Review Question  12  On page 111 


