1.4.4.1. Interpretations of Conditional Statements

Try these first

1. 1.

   What does the statement 'if it rains, then the ground is wet' mean?

   Hint

   Think about the cause-effect relationship.

2. 2.

   True or False: A conditional statement is false when both p and q are true.

   Hint

   Review the truth table for clarity.

3. 3.

   What happens if both p and q are true in the statement 'if p then q'?

   • True
   • False

   Hint

   Look at the truth table logic.

4. 4.

   True or False: A conditional statement is false if p is true and q is false.

   • True
   • False

   Hint

   Refer to the specific row in the truth table.

5. 5.

   Given the statement 'If the temperature is above freezing (p), then the water is liquid (q)', discuss scenarios where p is false. What can you conclude about q?

   Hint

   Consider different states of water.

6. 6.

   Create your own conditional statements and illustrate their truth tables. Analyze the implications of your findings.

   Hint

   Think about different financial scenarios.