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MA 110-07 Quiz 2 Solutions, Exercises of Mathematical Methods for Numerical Analysis and Optimization

The solutions to quiz #2 for ma 110-07, including the contrapositive of a statement about piano playing, the validation of an argument about oil supply and economy, and the intersection of two sets in symbolic notation.

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 110-07
§1.4 2.1 Quiz #2 score
Name:
25 January 2001
1. Write the contrapositve of the following statement: (6 points)
You can play the piano only if you have practiced.
2. Determine if the following argument is valid by converting it to symbolic notation and
using a truth table. (7 points)
If our oil supply is cut off, our economy collapses. If we go to war, our economy
doesn’t collapse. Therefore, if our oil supply is cut off, we do not go to war.
3. Suppose that our universal set is the lower case letters of the alphabet, U={a,b,c,... ,z},
that A={a, c, e, g, i, k, n}and B={a, d, g , j, m}. Find the set AB.(7 points)

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MA 110-

Quiz

score

Name:

25 January 2001

  1. Write the contrapositve of the following statement: (6 points)

You can play the piano only if you have practiced.

  1. Determine if the following argument is valid by converting it to symbolic notation and using a truth table. (7 points)

If our oil supply is cut off, our economy collapses. If we go to war, our economy doesn’t collapse. Therefore, if our oil supply is cut off, we do not go to war.

  1. Suppose that our universal set is the lower case letters of the alphabet, U = { a, b, c,... , z }, that A = { a, c, e, g, i, k, n } and B = { a, d, g, j, m }. Find the set AB ′. (7 points)