open query 21

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course mth 151

If your solution to stated problem does not match the given solution, you should self-critique per instructions at

http://vhcc2.vhcc.edu/dsmith/geninfo/labrynth_created_fall_05/levl1_22/levl2_81/file3_259.htm

Your solution, attempt at solution. If you are unable to attempt a solution, give a phrase-by-phrase interpretation of the problem along with a statement of what you do or do not understand about it. This response should be given, based on the work you did in completing the assignment, before you look at the given solution.

001. `Query 1

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Question: `qQuery 2.1.12 counting #'s 4 to 14

List the elements of the set.

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Your solution:

The elements of the set would be {4,5,6,7,8,9,10,11,12,13,14}

confidence rating #$&*:

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Given Solution:

`a**For the set of counting numbers from 4 through 14 the list of the elements would be 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14.

To indicate the set of these element using a list format we would write the set as {4, 5, 6, 7, 8, 9,10, 11, 12, 13, 14}.

If we are asked for the set of counting numbers between 4 and 14 we would write the set as {5, 6, 7, 8, 9, 10, 11, 12, 13}.

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Self-critique (if necessary):

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Self-critique Rating:

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Question: `qquery 2.1.24 listing for set of presidents after Nixon and before Obama (formerly between LBJ and Clinton)

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: Did not understand

confidence rating #$&*:

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Given Solution:

`a** The solution given here is for presidents between Johnson and Clinton. A listing would be {}{}{ Richard Nixon, Gerald Ford, Jimmy Carter, Ronald Regan, George HW Bush}.{}{}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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Self-critique (if necessary):

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Question: `q2.1.44 finite or infinite: set of rat #'s 0 to 1

YYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

Your solution: do not get what it is asking

confidence rating #$&*:

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Given Solution:

`a** 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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Self-critique (if necessary):

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Question: `q2.1.48 n(A), A={x|x is a U.S. senator}

What is n(A) and why?

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Your solution:

n is A and it is the set of current U.S. senators. In this case there are 2 senators per state so it would be 100 senators so n(A)=100.

confidence rating #$&*:

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Given Solution:

`a** 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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Self-critique (if necessary):

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Self-critique Rating:

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Question: `qquery Is {x|x is negative number} well-defined?

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Your solution:

Yes, x/x would be a negative number. In asking if it is well defined or not, yes it is because it defines that x is a negative number.

confidence rating #$&*:

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Given Solution:

`a** 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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Self-critique (if necessary):

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Self-critique Rating: