Original Statement - Finite Math - Quiz, Exercises of Mathematics

Main points of this past exam are: Original Statement, Statement, Contrapositive, Converse, Logically Equivalent, Valid or Invalid, Argument

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

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MA 110-06
§1.4 2.1 Quiz #2 score
Name:
11 September 2001
1. Write the converse and the contrapositive of the statement “If it rains today, then I will
not play tennis.” Label both. Which statement (if either) is logically equivalent to the
original statement? (6 points)
2. Write the following argument in symbolic form, build the truth table, and determine if
the argument is valid or invalid. (8 points)
If I study enough, then I will do well in my class. If I get a new friend, then I
won’t study enough. Therefore, If I don’t get a new friend, I will do well in my
class.
3. Suppose that our universal set consists of the lower case letters, U={a,b,c,...,m}. Let
A={a, c, e, g , i, k, m}and B={a, d, g, j, m}. Find the set (A B).(6 points)

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MA 110-

Quiz

score

Name:

11 September 2001

  1. Write the converse and the contrapositive of the statement “If it rains today, then I will not play tennis.” Label both. Which statement (if either) is logically equivalent to the original statement? (6 points)
  2. Write the following argument in symbolic form, build the truth table, and determine if the argument is valid or invalid. (8 points)

If Istudy enough, then Iwill do well in my class. If Iget a new friend, then I won’t study enough. Therefore, If Idon’t get a new friend, Iwill do well in my class.

  1. Suppose that our universal set consists of the lower case letters, U = { a, b, c,... , m }. Let A = { a, c, e, g, i, k, m } and B = { a, d, g, j, m }. Find the set (AB) ′. (6 points)