4. Let p and q be propositions p: you drive over 65 miles per hour q: you get a

Question

4. Let p and q be propositions p: you drive over 65 miles per hour q: you get a speeding ticket Write the following propositions using using p and q and logical connectives (any five). (a) you do not drive over 65 miles per hour (b) you drive over 65 miles per hour, but you do not get a speeding ticket (c) if you do not drive over 65 miles per hour, you will not get a speeding ticket (d) Driving over 65 miles per hour is sufficient for getting a speeding ticket (e) You get a speeding ticket but you do not drive over 65 miles per hour (f) Whenever you get a speeding ticket. you are driving over 65 miles per hour

Explanation / Answer

a) ~p ( It is the negative of first statement)

b) p ^ ~q

c) ~p ^ ~q

d) p --> q

f) q -->p

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