Question

1.     Let p and q be propositions. p: You drive over 65 miles per hour. q: You get a speeding ticket. Write these propositions using p and q and logical connectives.

a.      You do not drive over 65 miles per hour.

b.     You will get a speeding ticket if you drive over 65 miles per hour.

c.      If you do not drive over 65 miles per hour, then you will not get a speeding ticket. 

Answer 1

a. ~$p$

b. p → q

c. ~p → ~q