Practice Part A - 6.6.1 | 6. Tutorial 1: Part I | Discrete Mathematics - Vol 1
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Express the statement, "You do not drive over 65 miles per hour," in terms of p.

💡 Hint: Think about negation and what it means.

Question 2

Easy

What is the converse of the statement p → q?

💡 Hint: Remember you switch the positions of the propositions.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does p → q indicate?

  • p implies q
  • q implies p
  • p and q are equivalent

💡 Hint: Think of implications in everyday situations.

Question 2

True or False: The contrapositive of p → q is ¬p → ¬q.

  • True
  • False

💡 Hint: Recall the definition of contrapositive.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the statements, "If it rains, I take an umbrella (p → q)," explain how its contrapositive helps understand the reasoning if the weather changes.

💡 Hint: Reflect on how depending on actions shows understanding of conditions.

Question 2

Show through a truth table how p ⇔ q is equivalent to (p → q) ∧ (q → p).

💡 Hint: Focus on the definition of biconditional.

Challenge and get performance evaluation