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course mth 163

Hi!

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:

Elements of the set- 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14

confidence rating #$&*:3

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Given Solution:

`a**A list of the elements would just be 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14. **

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Self-critique (if necessary):OK

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Self-critique Rating:OK

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Question: `qquery 2.1.24 listing for set of presidents between LBJ and Clinton

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Your solution:

The Set of Presidents between LBJ and Clinton: Former Presidents Lyndon B. Johnson, Richard Nixon, Gerald Ford, Jimmy Carter, Ronald Reagan, George H. W. Bush, Bill Clinton

X X is a president between LBJ and Clinton.

confidence rating #$&*:3

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Given Solution:

`a** A listing would be {}{}{Lyndon Johnson, Richard Nixon, Gerald Ford, Jimmy Carter, Ronald Regan, George HW Bush, William Clinton}.{}{}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):OK

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Self-critique Rating:OK

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Question: `q2.1.40 finite or infinite: set of rat #'s 0 to 1

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Your solution:

The set of rational numbers from 0 to 1

{0, .25, .5, .75…1}

X X is a rational number 0 and 1

confidence rating #$&*:3

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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):OK

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Self-critique Rating:OK

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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(A) is the cardinal number in a set which in this set is the number of senators.

Confidence Assessment3

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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):OK

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Self-critique Rating:OK