Practice Part A (6.7.1) - Tutorial 1: Part I - Discrete Mathematics

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6 sample questions

Question 1.
What is the negation of the statement 'it is raining'?
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Think of the opposite of raining.
Question 2.
If p is true, what is the truth value of ¬p?
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Remember that negation flips the truth value.
3Question 3.
What does ¬p represent?
- You drive over 65 mph
- You do not drive over 65 mph
- You will not get a ticket
- You will get a ticket
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What is the opposite of the statement?
4Question 4.
If p → q is true, which of the following must also be true?
- True
- False
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Think about when an implication can fail.
Question 5.
Consider the logical statement 'the car accelerates only if the driver presses the pedal.' Can you express its contrapositive and check if they are equivalent?
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Remember the relationship of implication and contrapositive.
Question 6.
Devise a complex logical statement involving three propositions: driving over 65 mph (p), getting a ticket (q), and attending traffic school (r). Show its truth table.
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Set up all combinations of truth values.

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