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Let p and q be the 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 (including negations).

  1. You do not drive over 65 miles per hour.
  2. You drive over 65 miles per hour, but you do not get a speeding ticket.
  3. You will get a speeding ticket if you drive over 65 miles per hour.
  4. If you do not drive over 65 miles per hour, then you will not get a speeding ticket.
  5. Driving over 65 miles per hour is sufficient for getting a speeding ticket.
  6. You get a speeding ticket, but you do not drive over 65 miles per hour.
  7. Whenever you get a speeding ticket, you are driving over 65 miles per hour.
in Mathematical Logic
edited by
411 views

1 Answer

2 votes
 
Best answer
A) ~P

B) P⋀ ~Q

C) P-->Q

D)~P-->~Q

E)P-->Q

F)~P⋀Q

G)Q-->P

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