Discrete Math Example

Discrete math Example

1.

p : You deal the flu
q : You command the closing tryout
r : You pass the course

a. If you have flu and consequently(prenominal) you miss the final exam.
b. You dont miss the final exam if and only if you pass the course
c. If you miss the final exam then you dont pass the course
d. You have the flu or you miss the final exam or you pass the course
e. If you have flu or if you miss the final exam then you dont pass the course

2.

it is unlawful to have more than three days and three guys upon his property within the city of paperville, Illinois.

Is it violated the law to have five dogs in the city?

P = 3 dogs
Q = 3 cats
P ^ Q
|P |Q |P^Q |
|T |T |T |
|T |F |F |
|F |T |F |
|F |F |F |





The law is not violated because there is not cat (q), having only dogs (p) is different then having dogs and cats ( p^q)





3.
a. If rosa has clx quarter hours of credits then she may graduate.
b. If Fernando obtain $2000 then he will buy a computer.
c. If better cars are built, then bwick built them.

4.



[pic]
|P |Q |(~P^~Q) |P v (~P^~Q) |
|T |T |F |T |
|T |F |T |T |
|F |T |T |T |
|F |F |T |T |

5.
P= I study hard
Q= I get As
R= I get rich

a. p ( q
p
_________
( q




b. P ( Q ( NOT VALID, SHOULD BE : P(Q
~R( ~Q Q(R
------------------
( P(R
------------
( r


c. P R
Q
------------
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