NOTE 1: Be sure to read Homework Format and Homework Writing Policy BEFORE writing up your solutions to be turned in.
NOTE 2: When two or more Lessons are to be turned in on the same day, please staple the Lessons separately and turn them in separately.
Due Friday, February 29
Sect. 6:Redo Exercises 6.11(a) and 6.27(b) from Lesson 20 AFTER rereading the original instructions in the box below and AFTER doing the problems below the box. Note that the instructions contain the wordsThe proofs should be given in the standard way for proving universally quantified statements.
- Sect. 6:
- 6.11(a)*, 6.27(b)***
* For 6.11(a), give precise proofs or counterexamples. The proofs should be given in the standard way for proving universally quantified statements.
NOTE: The statement “x divides y” means (in this context) “there exists a natural number k such that y = kx”. (Note that the definition of “divides” contains no reference to “division”. It is purely a multiplicative property: “x divides y” means the same as “x is a factor of y”, which is the same as “y is a multiple of x”.)
PLEASE READ, UNDERSTAND, AND DIGEST THE PRECEDING DEFINITION!
***For 6.27(b), give a precise proof or counterexample. A proof should be given in the standard way for proving universally quantified statements.BEFORE doing the Exercises from the textbook, answer the questions here:
Properties of Relations and Proofs
(You can print the questions at this link and answer the questions directly on the printout if you wish.)
NOTE: As stated on the Course Home Page, all due dates are tentative. Assignments, or parts of assignments, may be postponed to a later date.
Last modified Feb 25, 2008 9:10 PM
Go to Lesson 21 (due Feb 25).
Go to Lesson 24 (due Feb 29).
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