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.
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OpenStudy (lgbasallote):
they are a couple
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
u have to pick A,B,C or D
jimthompson5910 (jim_thompson5910):
p: Jennifer likes James
so
~p : ????
OpenStudy (anonymous):
hold on i'll attach a prt sctn
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OpenStudy (anonymous):
jimthompson5910 (jim_thompson5910):
If
p: Jennifer likes James
then what does ~p stand for?
OpenStudy (anonymous):
umm... does not?
jimthompson5910 (jim_thompson5910):
so
~p: Jennifer does not like James
OpenStudy (anonymous):
so thats the anwser then?
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jimthompson5910 (jim_thompson5910):
close, but it's not the full answer
OpenStudy (anonymous):
ennifer does not like James, but James likes Jennifer.
jimthompson5910 (jim_thompson5910):
yes you got it
OpenStudy (anonymous):
so the second one on the attachment would be: If the bus has not been repaired, then the kids are not home from school?
jimthompson5910 (jim_thompson5910):
no
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jimthompson5910 (jim_thompson5910):
q corresponds to what?
OpenStudy (anonymous):
If the bus has not been repaired, then the kids are home from school
jimthompson5910 (jim_thompson5910):
how can the kids come home if the bus hasn't been repaired
OpenStudy (anonymous):
If the kids are not home from school, then the bus has not been repaired.
jimthompson5910 (jim_thompson5910):
good
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OpenStudy (anonymous):
What is the contrapositive of the following statement?
If Tom campaigns for treasurer, he will be elected.
jimthompson5910 (jim_thompson5910):
the contrapositive of
p -> q
is
~q -> ~p
OpenStudy (anonymous):
If Tom is elected treasurer, then he campaigned.
jimthompson5910 (jim_thompson5910):
does that help?
OpenStudy (anonymous):
so thats the anwser?
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jimthompson5910 (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
OpenStudy (anonymous):
If Tom is not elected treasurer, then he did not campaign.
jimthompson5910 (jim_thompson5910):
close, you flip it though
OpenStudy (anonymous):
If Tom does not campaign for treasurer, then he will not be elected.
jimthompson5910 (jim_thompson5910):
bingo
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jimthompson5910 (jim_thompson5910):
and if you think about it, the statement you made makes sense
jimthompson5910 (jim_thompson5910):
if someone doesn't campaign, then they're likely to never get elected
jimthompson5910 (jim_thompson5910):
since no one will know about the candidate
OpenStudy (anonymous):
thank you, you are litterly the only person who has helped me this much
jimthompson5910 (jim_thompson5910):
i'm glad
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