## lgbasallote 3 years ago Translate the statement "you cannot watch the movie if you are under 18 years old unless you are accompanied by your parents" into a logical expression

1. sauravshakya

If u r >=18 or Accompanied by your parents then U can watch movie

2. lgbasallote

that's not really a logical expression....

3. lgbasallote

i assume this will be the start: p: you can watch the movie q: you are under 18 r: you are accompanied by your paretns

4. lgbasallote

then what?

5. sauravshakya

Not q or r then p

6. lgbasallote

$$r \wedge q) \rightarrow p$$?

7. sauravshakya

Well I am not familiar with those symbols

8. lgbasallote

hmm seems it should be $(q \wedge \neg r) \rightarrow \neg p$ why?

9. swissgirl

hmmmmm let me think abt this one

10. lgbasallote

that would be splendid

11. swissgirl

if you are under 18 years old and not accompanied by a parent then you can not watch the movie p=under 18 years old q=accompanied by a parent r=unable to watch movie

12. lgbasallote

mmhmm

13. swissgirl

(p^~q)->r

14. lgbasallote

should be (p^~q) -> ~r

15. swissgirl

give me one more sec I doubt its (p^q)->r

16. lgbasallote

yeah...i just said what it is supposed to be

17. swissgirl

ya so then its that

18. lgbasallote

question is...why?

19. swissgirl

if you are under 18 years old and not accompanied by a parent then you can not watch the movie p=if you are under 18 years old q=accompanied by a parent r= can watch movie

20. lgbasallote

....you're just repeating yourself...

21. swissgirl

nope I changed what r symblizes

22. lgbasallote

oh. so it's going to be (p ^ ~q) -> ~r still i ask..why?

23. swissgirl

which part is confusing? Ok for starters I switched around the order of the sentence. I put the result which was cannot watch movie at the end of the sentence So basically i rearranged the sentence so that the 2 conditions are in the beginning unless accompanied by an adult is another way of saying not accompanied by an adult

24. lgbasallote

main part is (p ^ ~q)

25. swissgirl

I am not sure what is confusing you. The hard part is rearranging the sentence

26. lgbasallote

i just said what was confusing me....

27. swissgirl

okkk we need 2 conditions in order to not be able to go to the movie 1) under 18 years of age 2) not accompanied by a parent Under 18 years of age is in a postive form p=under 18 years of age Not accompanied by a parent is in a negative form ~q= not accompanied by parent q=accompanied by parent

28. lgbasallote

^ means and yes?

29. swissgirl

So if you are under 18 years of age and NOT accompanied by a parent Then you can NOT watch the movie (p^~q)=~r ^=and

30. lgbasallote

hmm so 18 andnot accompanied by parent implies no watch?

31. swissgirl

Correct

32. bahrom7893

Actually no, under 18 and not accompanied implies no watch.

33. lgbasallote

thanks

34. lgbasallote

35. bahrom7893

18 implies watch

36. lgbasallote

under 18 implies bad dreams

37. bahrom7893

under 18 implies music chatbox

38. swissgirl

HAHAHAH LOL

39. swissgirl

What happens if you frequent music chat when you are older than 18?