Practice Question 4 (6.5) - Tutorial 1: Part I - Discrete Mathematics

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6 sample questions

Question 1.
Translate 'You drive over 65 miles per hour' into propositional logic.
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Identify the propositional variable.
Question 2.
What is the negation of 'You get a speeding ticket'?
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Think about what negation means.
3Question 3.
What symbol denotes negation in propositional logic?
- ¬
- ∧
- ∨
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Think about the phrasing 'not p'.
4Question 4.
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
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Evaluate the conditions of each implication carefully.
Question 5.
Create a contrapositive for the statement: 'If you do not enter a valid password, then you do not have access.'
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Remember, contrapositive swaps hypotheses and conclusions.
Question 6.
Analyze the expression 'p ∨ ¬p' for its truth values and logical equivalence.
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Evaluate the possibilities of p being true or false.

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