Use truth tables to test the validity of the argument. p ? ~q q ? ~p/

? p ? q

Since a truth table would be so long, and you'd have to have a very wide
piece of paper to get it all in, [ I'd just take the four cases and work each
one out separately and see if we get T in every case:
Case p=T and q=T
[(p -> ~q) ^ (q -> ~p)] -> (p V q)
[(T -> ~T) ^ (T -> ~T)] -> (T V T)
[(T -> F ) ^ (T -> F)] -> T
[ F ^ F ] -> T
F -> T

T
Case p=T and q=F
[(p -> ~q) ^ (q -> ~p)] -> (p V q)
[(T -> ~F) ^ (F -> ~T)] -> (T V F)
[(T -> T ) ^ (F -> F) ] -> T
[ T ^ T ] -> T
T -> T
T
Case p=F and q=T
[(p -> ~q) ^ (q -> ~p)] -> (p V q)
[(F -> ~T) ^ (T -> ~F)] -> (F V T)
[(F -> F ) ^ (T -> F )] -> T
[ T ^ F ] -> F
F -> F
T
Case p=F and q=F
[(p -> ~q) ^ (q -> ~p)] -> (p V q)
[(F -> ~F) ^ (F -> ~F)] -> (F V F)
[(F -> T ) ^ (F -> T )] -> F
[ T ^ F ] -> F
F -> F
T
All four cases come out T, so the argument is valid.
]

Expert answered|rodnix|Points 291|

Question

Asked 12/12/2012 12:23:49 AM

0 Answers/Comments

Rating

There are no new answers.

Which example describes constant acceleration due ONLY to a change in direction?
A. increasing speed while traveling around a curve
B. an object at rest
C. traveling around a circular track
D. an object in free fall **Weegy:** Traveling around a circular track describes constant acceleration due ONLY to a change in direction. (More)

Question

Expert Answered

Asked 12/6/2012 11:17:46 AM

0 Answers/Comments

Your weight equals your
A. mass.
B. mass divided by the net force acting on you.
C. mass times the acceleration due to gravity.
D. mass times your speed. **Weegy:** Your weight equals your C. mass times the acceleration due to gravity. (More)

Question

Expert Answered

Asked 12/6/2012 11:34:12 AM

0 Answers/Comments

Solar cells convert what type of energy into electrical energy?
A. thermal
B. nuclear
C. electromagnetic
D. chemical **Weegy:** Solar cells convert what type of energy into thermal energy. (More)

Question

Updated 193 days ago|5/12/2014 11:59:43 AM

0 Answers/Comments

Nuclear power plants are designed to convert nuclear energy into what type of energy?
A. mechanical
B. electrical
C. geothermal
D. chemical **Weegy:** D. mechanical
(More)

Question

Updated 92 days ago|8/21/2014 8:08:54 PM

1 Answer/Comment

Nuclear power plants are designed to convert nuclear energy into electrical energy.

Added 92 days ago|8/21/2014 8:08:49 PM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by andrewpallarca [8/21/2014 8:10:42 PM]

Which of the following types of transportation is NOT mass transportation?
A. bus
B. car
C. streetcar
D. train **Weegy:** Which of the following types of transportation is NOT mass transportation? C. streetcar (More)

Question

Expert Answered

Updated 12/6/2012 12:08:03 PM

1 Answer/Comment

B. Car is not a mass transportation. Mass transportation is any kind of transportation system in which large numbers of people are carried within a single vehicle or combination of vehicles.

Added 12/6/2012 12:08:03 PM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by jay901 [3/8/2014 1:05:44 PM]

18,406,878 questions answered

There are no comments.