6.3. Question 2

Try these first

1. 1.

   Identify the converse of the statement: 'If it is sunny, then I will go for a walk.'

   Hint

   Switch the hypothesis and conclusion.

2. 2.

   Write the contrapositive of 'If there is a fire, the alarm will ring.'

   Hint

   Negate both parts of the original statement.

3. 3.

   What is the contrapositive of the statement 'If it rains, then the ground is wet'?

   Hint

   Remember to negate and switch.

4. 4.

   True or False: The converse of 'If p then q' is 'If q then p'.

   • True
   • False

   Hint

   Reflect on the definition of converse.

5. 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.

   Hint

   Consider examples of birds that cannot fly.

6. 6.

   Given the importance of the contrapositive, explore and create examples where the original statement is false but the contrapositive is true.

   Hint

   Evaluate various individual scenarios.