Practice Part A (6.6.1) - Tutorial 1: Part I - Discrete Mathematics

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6 sample questions

Question 1.
Express the statement, "You do not drive over 65 miles per hour," in terms of p.
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Think about negation and what it means.
Question 2.
What is the converse of the statement p → q?
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Remember you switch the positions of the propositions.
3Question 3.
What does p → q indicate?
- p implies q
- q implies p
- p and q are equivalent
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Think of implications in everyday situations.
4Question 4.
True or False: The contrapositive of p → q is ¬p → ¬q.
- True
- False
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Recall the definition of contrapositive.
Question 5.
Given the statements, "If it rains, I take an umbrella (p → q)," explain how its contrapositive helps understand the reasoning if the weather changes.
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Reflect on how depending on actions shows understanding of conditions.
Question 6.
Show through a truth table how p ⇔ q is equivalent to (p → q) ∧ (q → p).
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Focus on the definition of biconditional.

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