Let p and q be the propositions p: You drive over 65 miles per hour. q: You get a speeding ticket. Identify the expression that represents the proposition "If you do not drive over 65 miles per hour, then you will not get a speeding ticket." using p and q and logical connectives (including negations).

Question

Mathematics

Demarcus Woodward

23 December, 07:24

Let p and q be the propositions p: You drive over 65 miles per hour. q: You get a speeding ticket. Identify the expression that represents the proposition "If you do not drive over 65 miles per hour, then you will not get a speeding ticket." using p and q and logical connectives (including negations).

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Reyna Wilkins · Answer 1

- p ⇒ - q

Step-by-step explanation:

p : Drive over 65 miles

q : You get a speeding ticket.

So then we get the negations.

- p : You do not drive over 65 miles

- q : You don't get a speeding ticket.

So, we need to connect the sentences. For that we use ⇒.

⇒ : then.

So, the sentence, If you do not drive over 65 miles per hour, then you will not get a speeding ticket

Can be written as : - p ⇒ - q