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.

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]