If you go to the zoo to see a lion,
then you will see a cat.
As explained in the exercise, this is a true conditional statement. The truth table for a true conditional statement looks like below.
p
q
p→ q
T
T
T
T
F
F
F
T
T
F
F
T
b Let's write the conditional statement, p→ q.
If you play a sport,
then you wear a helmet.
As explained in the exercise, this is a false conditional statement. However, since some sports require helmets, it is also false to say that you do not wear a helmet if you play a sport. Similarly, not playing a sport neither requires or exempts you from wearing a helmet. With this information we can write the following truth table.
p
q
p→ q
T
T
F
T
F
F
F
T
F
F
F
F
c Let's write the conditional statement, p→ q.
If this month has 31 days,
then it is not February.
As explained in the exercise, this is a true conditional statement. The truth table for a true conditional statement looks like below.
