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How can this English sentence be translated into a logical expression?
“You cannot ride the roller coaster if you are under 4 feet tall unless you are older than 16
years old.”

 

It is conditional statement Q unless ~P so if P then Q

and conditional statement  Q if P So if P then Q

Let

P: You are not older than 16

Q: You are under 4 feet tall

R: You cannot ride the roller coaster

P -> (Q->R) Am I wrong ??

3 Answers

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let P:You are older than 16 years old
Q:You are under 4 feet tall
R:You can ride the roller coaster
As q if p means p=>q and unless means (^,NOT) so this can be represented in (Q^∼P)=>∼R.

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if (not older then 16)           [stmt P :you r not older then 16 ]

{

if(u r under 4 feet tall)        [stmnt Q]

then

you cannot ride     stmt R

FROM THE LOOP WE CAN SAY THAT

(P∧ ∼Q)→R

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