query 1

course Mth 151

I quit the program and re-done the first question. I wasn't for sure I was doing the right assignment. I wasn't trying to cheat! I sent you the 'help' email earlier. I understand how to do all the assignments now! Thanks for answering my questions. I hope to finish the rest by tomorrow. Thank you again for helping me understand. I have been out of school for a while. I work full time, plus I have a 2 and a 4 year-old! This has been an ajustment, but I feel so.... much better, now that I have figured it all out! I going to become a teacher, so I'm very excitied to get started, but it's really hard.

Your work on this assignment is good.

You did well on most of these problems, but should have included more detail on some, and there are some that should have been self-critiqued but weren't. See my notes, in boldface like this one, to be sure you understand what is mean by 'self-critique', and when you need to do it.

assignment #001 Å±îÚøŽîÅüýp¶ËZêàë¨ýÿ Liberal Arts Mathematics I 01-22-2006 ©zÎvâG“ÁË–ôÞ…Ü³„çÅ²µÏÏˆò assignment #001 Å±îÚøŽîÅüýp¶ËZêàë¨ýÿ Liberal Arts Mathematics I 01-22-2006

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20:49:40 Query 2.1.12 counting #'s 4 to 14 List the elements of the set.

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RESPONSE --> {5,6,7,...,13} or {5,6,7,8,9,10,11,12,13}

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üºƒÊhÕm·mê™üN¨»wˆ¸¨l™· assignment #001 Å±îÚøŽîÅüýp¶ËZêàë¨ýÿ Liberal Arts Mathematics I 01-22-2006

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20:52:40 Query 2.1.12 counting #'s 4 to 14 List the elements of the set.

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RESPONSE --> {4,5,6,7,8,9,10,11,12,13,14}

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20:52:46 **A list of the elements would just be 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14. **

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RESPONSE --> ok

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20:54:39 query 2.1.24 set builder for set of presidents between LBJ and Clinton

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RESPONSE --> {george bush,ronald regan,jimmy carter, gerald ford, richard nixon}

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20:57:18 ** Set-builder notation is {x|x is a president who served between Lyndon Johnson and William Clinton} x is a variable and the condition 'x is a president who served between Lyndon Johnson and William Clinton' tells you what possible things the variable can be. COMMON ERROR: It's incorrect to say {x | x is the set of presidents who served between Johnson and Clinton}. x is a president, not a set of presidents. Should be {x|x is a president who served between Lyndon Johnson and William Clinton} **

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RESPONSE --> I was just copying my answer from text work. I realize now that the question was asking for the set-builder notation and not the set.

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20:58:01 2.1.40 finite or infinite: set of rat #'s 0 to 1

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RESPONSE --> finite

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20:58:54 ** Rational numbers have form p/q, where p and q are integers. Numbers like 5/8, 57/31, -3/5, -57843/7843, etc. The subset {1/2, 1/3, 1/4, 1/5, ... } is just by itself an infinite set of rational numbers between 0 and 1. Then you have things like 348/937, and 39827389871 / 4982743789, and a whole infinite bunch of others. There are thus infinitely many rational numbers in any interval of the real line. COMMON MISCONCEPTION: finite, because it doesn't go on forever Rational numbers have form p/q, where p and q are integers. Numbers like 5/8, 57/31, -3/5, -57843/7843, etc. Not all of these lie between 0 and 1, of course. **

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RESPONSE --> ok

Your response did not agree with the given solution in all details, and you should therefore have addressed the discrepancy with a full self-critique, detailing the discrepancy and demonstrating exactly what you do and do not understand about the given solution, and if necessary asking specific questions.

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21:05:11 2.1.48 n(A), A={x|x is a U.S. senator} What is n(A) and why?

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RESPONSE --> n(A)=100 because that's how many elements there are. there are 2 senators for each state.

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21:05:19 ** n(A) stands for the number of elements in the set--in this case for the number of senators. There are 100, 2 from each State. So n(A) = 100. **

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RESPONSE --> ok

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21:06:00 query 2.1.54 {x|x is neagtive number}

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RESPONSE --> well-defined

You need to explain your reasoning on all questions, but especially on questions like this one where there are only a small number of possible answers.

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21:07:06 ** This notation means all possible values of x such that x is a negative number. The question is whether the set is well-defined or not. It is in fact well-defined because there is a definite way to decide whether a given object is an element of the set, because there is a definite way to determine whether an object is a negative number or not. ALTERNATIVE ANSWER: The set is well-defined because you have a criterion by which you can definitely decide whether something is or is not in the set. **

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RESPONSE --> ok

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21:08:14 2.1.72 true or false 2 not subset of {7,6,5,4}

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RESPONSE --> true. 2 is not a subset of {7,6,5,4}

Again, it's necessary to explain why not.

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21:08:47 ** The statement is that 2 is not a subset. The statement is true because 2 isn't even a set, it's just a number. {2} is a set and could be a subset of something. 2 is just a number; it isn't a set so it can't be a subset of anything. The usual answer is that 2 isn't a subset because 2 isn't in the set. However that's not the correct reason. The correct reason is that 2 isn't a set and a subset must be a set. COMMON MISCONCEPTION: the statement says that 2 is not a subset, not that it is not an element of the set. So the reason it's not a subset is that 2 isn't a set at all, so it can't be a subset of anything. **

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RESPONSE --> ok

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21:10:39 ** Specifically it's false because the element 12 is in C but not in B. **

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RESPONSE --> false. because 12 is not an element of b.

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