Quiz 1 Solutions
1. Fill in the following truth table:
For the middle column, students who used p 
q also received credit.
2. For each of the following statements, the universe of discourse is the set of all integers. Indicate whether each statement is true or false, and briefly justify your answer.
3. Let p be the proposition "you drive over 65 miles per hour" and let q be the proposition "you will get a speeding ticket." Write the following propositions using p, q, and the logical connectives:
a) If you drive over 65 miles an hour, then you will get a speeding ticket.
p q
b) If you do not drive over 65 miles an hour, then you will not get a speeding ticket.
~p ~q
c) You drive over 65 miles an hour but you will not get a speeding ticket.
p 
~q