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Good Athlete - Finite Math - Quiz, Exercises of Mathematical Methods for Numerical Analysis and Optimization

Main points of this past exam are: Good Athlete, Tennis Players, Piano Lessons, Symbolic Representations, Practice Piano, Sentence, Piano Often

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 110-07
§1.1 1.3 Quiz #1 score
Name:
30 August 2001
1. State whether the following argument is Valid or Invalid and illustrate with a properly
labeled Venn diagram. (6 points)
1. All tennis players are good athletes.
2. Sue is a good athlete.
Therefore, Sue is a tennis player.
2. Using the symbolic representations
p: I take piano lessons;
q: I practice piano often;
r: I play the piano well.
(a) express the sentence “If I take piano lessons and if I practice the piano often, then I
will play the piano well.” (4 points)
(b) Express the symbolic expression in words: (p∧∼q) →∼r.(4 points)
3. Construct truth tables for the two statements p(q) and (p q) and determine if
the two statements are logically equivalent. (6 points)

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MA 110-

Quiz

score

Name:

30 August 2001

  1. State whether the following argument is Valid or Invalid and illustrate with a properly labeled Venn diagram. (6 points) 1. All tennis players are good athletes. 2. Sue is a good athlete.

Therefore, Sue is a tennis player.

  1. Using the symbolic representations

p : I take piano lessons; q : I practice piano often; r : I play the piano well.

(a) express the sentence “If I take piano lessons and if I practice the piano often, then I will play the piano well.” (4 points)

(b) Express the symbolic expression in words: (p ∧ ∼ q) →∼ r. (4 points)

  1. Construct truth tables for the two statements p(q) and ∼ (pq) and determine if the two statements are logically equivalent. (6 points)