8,683 views
0 votes
0 votes

"You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16 years old"
The answer in Kenneth Rosen is 
Let q,r, and s represent "You can ride the roller coaster." "You are under 4 feet tall," and "You are older than 16 years old", respectively.Then the sentence can be translated to
(r ∧ ¬s) ⟶ ¬q.

Please explain this solution.
Also can the answer be 
Let q represent "You can ride the roller coaster".
c represent "You are not older than 16 years old."
a represent "You are under 4 feet tall"
then, (c⟶a) ⟶ ¬q.

2 Answers

1 votes
1 votes

As u mentioned

Let q represent "You can ride the roller coaster".
c represent "You are not older than 16 years old."
a represent "You are under 4 feet tall"

"You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16 years old"

As an original sentence I rewrite it as

If you are under 4 feet tall and you are not older than 16 years old than you cannot ride the roller coaster .

So (a^ ¬ c)-> ¬q

0 votes
0 votes

You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16 years old"

Let q,r, and s represent "You can ride the roller coaster." "You are under 4 feet tall," and "You are older than 16 years old", respectively.Then the sentence can be translated to

it means if you are under 4 feet and you are older than 16 yrs old then u can ride or if you are not under 4 feet then u can also ride . and if you are not older than16 yr old and under 4 feet tall than u can  not ride i.e 

so [r ∧ ¬s) ⟶ ¬q now coming to your ans 

Let q represent "You can ride the roller coaster".
c represent "You are not older than 16 years old."
a represent "You are under 4 feet tall"
then, (c⟶a) ⟶ ¬q. or  ~c v a  -> ~q  this says if u r  older than 16 or  u r under 4 feet tall then u can not ride roller coaster which can not be true also c->a says if u r not older than 16 u r under 4 feet tall which is neither given nor derived 

Related questions

0 votes
0 votes
0 answers
1
2 votes
2 votes
1 answer
4
Dulqar asked Jan 7, 2017
514 views
" Lazy and Smart People Are Dangerous "What I think is that $\forall(x) (\text{Lazy}(x) \wedge\text{Smart}(x) \rightarrow Dangerous(s) )$Is it correct ?If YEShttps://gate...