Practice Question 4 - 6.5 | 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

Translate 'You drive over 65 miles per hour' into propositional logic.

💡 Hint: Identify the propositional variable.

Question 2

Easy

What is the negation of 'You get a speeding ticket'?

💡 Hint: Think about what negation means.

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Interactive Quizzes

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

Question 1

What symbol denotes negation in propositional logic?

  • ¬

💡 Hint: Think about the phrasing 'not p'.

Question 2

Is the statement 'If you do not drive over 65 MPH, then you will not get a speeding ticket' logically equivalent to 'You will get a speeding ticket only if you drive over 65 mph'?

  • True
  • False

💡 Hint: Evaluate the conditions of each implication carefully.

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Challenge Problems

Push your limits with challenges.

Question 1

Create a contrapositive for the statement: 'If you do not enter a valid password, then you do not have access.'

💡 Hint: Remember, contrapositive swaps hypotheses and conclusions.

Question 2

Analyze the expression 'p ∨ ¬p' for its truth values and logical equivalence.

💡 Hint: Evaluate the possibilities of p being true or false.

Challenge and get performance evaluation