6.2. Question 1

Try these first

1. 1.

   What does the negation of p represent?

   Hint

   Think about how negation flips the truth value.

2. 2.

   How would you express 'You will not get a ticket' using q?

   Hint

   Remember, negation is key.

3. 3.

   What does p represent?

   • Driving under 65 mph
   • Driving over 65 mph
   • Getting a speeding ticket

   Hint

   Think about the definition given at the start.

4. 4.

   True or False: The contrapositive of p → q is q → p.

   • True
   • False

   Hint

   Focus on how contrapositives are structured.

5. 5.

   Given that p = true and q = false, determine the truth value of p → q.

   Hint

   How do implications work when one part is true and the other false?

6. 6.

   Using p and q, construct a scenario where q is true, but p is false, and explain the implication.

   Hint

   What does the implication suggest about truth values when the conclusion is reached?