Practice Part B (13.4.2) - Lecture - 13 - Discrete Mathematics

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8 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Define a predicate to represent 'x is a student'.
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Think of how to state who belongs to which category.
Question 2.
What does the statement ∀x(M(x) → W(x)) imply?
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Focus on breaking down the elements of the statement.
3Question 3.
What does ∃x(S(x) ∧ W(x)) mean?
- No students have left
- At least one student is both a math major and left
- All math majors have left
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Focus on the existential meaning of the statement.
4Question 4.
Is it true that if P(x) is true, then P(x+1) must be true?
- True
- False
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Think of exceptions to the statement.
Question 5.
Construct a logical argument involving predicates for a scenario where all seniors earn higher than 3.0, but not all students do. Determine its validity.
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Break it down into parts, analyze the components.
Question 6.
Create an example showing P(0) is true and ∀n(P(n) → P(n+1)) is invalid.
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Identify properties that diverge.

4 more questions in this section. Enroll free to practise them all.