2023 Which of the following sentences are logical statements If x even divides y then x is a factor | Assignment Collections
Computer Science 2023 Discrete Structures
2023 Which of the following sentences are logical statements If x even divides y then x is a factor | Assignment Collections
- Which of the following sentences are logical statements?
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If x even divides y, then x is a factor of y
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If John does well in discrete math, then he will be an excellent programmer
- 2 is the only even prime number
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He is the best student in the class
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Construct the truth tables for the following propositions:
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(p ∧ ¬ p) ∧ q
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(p ∨ q) ∧ (q ∨ ¬ p)
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p ∧ (q ∨ ¬ r)
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(p ∧ q) ∨ (p ∧ r)
- Refer to the propositions in problem 2. For each of them, indicate whether it is a tautology, a contradiction or neither.
- Use truth tables to determine whether the following is valid argument:
p → q
q → p
∴ p ∨ q - Use truth tables to determine whether each of the following pairs of propositions are logically equivalent.
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(p ∨ q) ∧ ¬ q
¬ q ∧ (q ∨ p) -
(¬ (p ∧ q)) ∨ q
(¬ p ∧ ¬ q) ∨ q
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