Question

I have a Geometry test tomorrow! Need help ASAP.

Problem:
Use the Law of Detachment to decide whether the flowing reason is valid or not valid.

If you drive faster than 65 mph, then you will get a ticket.
Joe just got a ticket.
Therefore, Joe drove faster than 65 mph

Answer 1

it is valid

Answer 2

but idk what law of detachment is

Answer 3

Lol I know it's valid...

Answer 4

Law of detachment says that if p=>q is true and p is true, then q must be true.

It's just a logic question.

Answer 5

Is this the correct answer
? Joe drove faster than 65 mph, He got a ticket.

Answer 6

In my definition, p is cause and q is effect.

Answer 7

I don't want these answers I want the final statement. Still need help!

Answer 8

Syllogism
----------
A form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion.

p: Person X drives at speed > 65
q: Person X gets a ticket
------------------
Major Premise: If person X drives at speed > 65, then Person X gets a ticket.
Minor Premise: Joe got a ticket.
Conclusion: NO VALID CONCLUSION

This pattern is as follows:
p -->q
q
-----
Therefore, p INVALID and NO Conclusion
The fallacy is the error of reasoning from the converse.

If the problem had been the following, then there would have been a valid conclusion:

Major Premise: If person X drives at speed > 65, then Person X gets a ticket.
Minor Premise: Joe drove at speed > 65.
Conclusion: Joe got a ticket.

Note: This pattern is known as Modus Ponens
P--> q
P
===
Therefore, q

@spoderman