Practice Question 5 (6.6) - Tutorial 1: Part I - Discrete Mathematics

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6 sample questions

Question 1.
Define a propositional variable in your own words.
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Think of variables in mathematics.
Question 2.
What does a bi-implication mean?
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It's about mutual truthfulness.
3Question 3.
What does it mean for a set of propositions to be consistent?
- They can all be true at the same time
- They contradict one another
- None of the above
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Think about truth values.
4Question 4.
If p ↔ q is true, and p is false, what must q be?
- True
- False
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Refer to the definition of bi-implication.
Question 5.
Prove that the conjunction of p ↔ q and q → r leads to a consistent specification if r is also Implied by p.
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Sketch the implication chain to visualize.
Question 6.
Create a truth table for expressions p → q and ¬r, determining if their conjunction is satisfiable.
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Remember to check all combination rows thoroughly.

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