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Define the following propositions: .p: You drive over 65 miles per hour q You get a speeding ticket Translate the following English sentence into logical expressions using the definitions above (a) You drive over 65 miles per hour, but you do not get a speeding ticket. (b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket (c) You get a speeding ticket, but you did not drive over 65 miles per hour.

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aramisdegaula1977

Answer:

(a) [tex]p \wedge -q[/tex]

(b) [tex]\neg p \Rightarrow \neg q[/tex]

(c) [tex]q \wedge -p[/tex]

Step-by-step explanation:

(a) You drive over 65 miles per hour, but you do not get a speeding ticket, it can be represented by: [tex]p \wedge -q[/tex]

(b) If you do not drive over 65 miles per hour, then you will not get a speeding ticket, it can be represented by: [tex]\neg p \Rightarrow \neg q[/tex]

(c) You get a speeding ticket, but you did not drive over 65 miles per hour, can be represented by: [tex]q \wedge -p[/tex]

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