Practice Question 2 (6.3) - Tutorial 1: Part I - Discrete Mathematics

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6 sample questions

Question 1.
Identify the converse of the statement: 'If it is sunny, then I will go for a walk.'
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Switch the hypothesis and conclusion.
Question 2.
Write the contrapositive of 'If there is a fire, the alarm will ring.'
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Negate both parts of the original statement.
3Question 3.
What is the contrapositive of the statement 'If it rains, then the ground is wet'?
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Remember to negate and switch.
4Question 4.
True or False: The converse of 'If p then q' is 'If q then p'.
- True
- False
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Reflect on the definition of converse.
Question 5.
Analyze this statement: 'If a bird can fly (p), then it is an animal (q).' Construct all relevant forms and determine if they are logically equivalent.
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Consider examples of birds that cannot fly.
Question 6.
Given the importance of the contrapositive, explore and create examples where the original statement is false but the contrapositive is true.
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Evaluate various individual scenarios.

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