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Answer the following
questions which deal with logical reasoning.
| 1. |
"A square has 4 equal
sides."
What is the truth value of the negation of this sentence?
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| 2. |
What
is the truth value of the statement
"2 + 4 = 6 and 9 is a prime number."?
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| 3.
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What
is the truth value of the statement
"Triangles
have 3 sides or squares have 3 sides."?
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| 4. |
What
is the truth value of the statement
"2 is even and 4 is odd."?
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| 5.
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What
is the truth value of the statement
"If dogs bark, then horses quack."?
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| 6. |
What
is the truth value of the statement
"If horses quack, then cows moo."?
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| 7.
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The
sentence "If _____, then 4 + 3 = 7."
is true.
Which of the following statements could be used to fill
the blank?
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a. 6/3 = 2
b. 8/4 = 3
c. both a and b could be used
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| 8. |
What
is the truth value of the sentence
"No
triangle has three sides or all triangles have three sides."?
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| 9.
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The
sentence " _____ if and only if x +
x =
3x." is true. Which of the following statements
could be used to fill the blank?
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a.
x + x
= 2x
b. 2x - x = 2x
c. both a and b can be used |
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| 10. |
It
is true that Donald has blue eyes and Alice has green eyes.
What
is the truth value of the sentence
"If
Donald has green eyes, then Alice has green eyes."?
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| 11. |
a.
What is the truth value of the sentence
"May
has 31 days and June has 31 days."?
b. Is the sentence in
part 'a' called a conjunction or a disjunction?
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| 12. |
What is the truth value of
"3 is a prime number if and only if a right
angle contains exactly 60 degrees."?
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