## hali12 3 years ago p: Jennifer likes James. q: James likes Jennifer. Statement: ~p ∧ q ... A) James does not like Jennifer, but Jennifer likes James... B)James likes Jennifer, but Jennifer does not like James...C) Jennifer likes James and James likes Jennifer.... D) Jennifer does not like James, but James likes Jennifer.

1. lgbasallote

they are a couple

2. hali12

@jim_thompson5910

3. hali12

u have to pick A,B,C or D

4. jim_thompson5910

p: Jennifer likes James so ~p : ????

5. hali12

hold on i'll attach a prt sctn

6. hali12

7. jim_thompson5910

If p: Jennifer likes James then what does ~p stand for?

8. hali12

umm... does not?

9. jim_thompson5910

so ~p: Jennifer does not like James

10. hali12

so thats the anwser then?

11. jim_thompson5910

close, but it's not the full answer

12. hali12

ennifer does not like James, but James likes Jennifer.

13. jim_thompson5910

yes you got it

14. hali12

so the second one on the attachment would be: If the bus has not been repaired, then the kids are not home from school?

15. jim_thompson5910

no

16. jim_thompson5910

q corresponds to what?

17. hali12

If the bus has not been repaired, then the kids are home from school

18. jim_thompson5910

how can the kids come home if the bus hasn't been repaired

19. hali12

If the kids are not home from school, then the bus has not been repaired.

20. jim_thompson5910

good

21. hali12

What is the contrapositive of the following statement? If Tom campaigns for treasurer, he will be elected.

22. jim_thompson5910

the contrapositive of p -> q is ~q -> ~p

23. hali12

If Tom is elected treasurer, then he campaigned.

24. jim_thompson5910

does that help?

25. hali12

so thats the anwser?

26. jim_thompson5910

Here's a similar example Original: If it did rain, then it is wet outside Contrapositive: If it is NOT wet outside, then it did NOT rain

27. hali12

If Tom is not elected treasurer, then he did not campaign.

28. jim_thompson5910

close, you flip it though

29. hali12

If Tom does not campaign for treasurer, then he will not be elected.

30. jim_thompson5910

bingo

31. jim_thompson5910

and if you think about it, the statement you made makes sense

32. jim_thompson5910

if someone doesn't campaign, then they're likely to never get elected

33. jim_thompson5910

since no one will know about the candidate

34. hali12

thank you, you are litterly the only person who has helped me this much

35. jim_thompson5910

36. jim_thompson5910

hopefully it's making more sense?

37. hali12

more than it did before

38. jim_thompson5910

alright, that's great, i'm glad it does