Summarizing the question: 24 credits + thesis -> eligible for masters degree
Roger has 24 credits but is not eligible . Therefore he hasn't done his thesis yet
Making this even simpler : A = 24 credits, B = Thesis, C = eligibility for masters degree
A + B -> C
Since A and !C (not C) therefore !B
To find: Another example that follows A + B -> C and A + !C , therefore !B
(A) If the mayor and the city council had approved the proposed budget, the botanical gardens would be able to open this week. The botanical gardens cannot open this week even though the city council approved the proposed budget. Thus, the mayor must not have approved the proposed budget.
A = city council
B = Mayor
C = garden opening
A + B -> C
We have A and !C, therefore !B
This follows the same pattern we are looking for
ACCEPT(B) If I see a science fiction movie, I either love it or hate it. I do not hate the movie I am watching now. Therefore, I will probably end up loving the movie, since it is a science fiction movie.
A = science fiction movie
B = loving
C = hating
A-> either B or C
Since A and !C, therefore B
Not the pattern we are looking for
REJECT(C) If the government or some other party had bought the processing plant, the local economy would have improved. But the local economy did not improve. Therefore, neither the government nor any other party bought the processing plant.
A = govt buying plant
B = some other party buying plant
C = local economy imprioving
A or B -> C
Since !C therefore !A and !B
Not the pattern we are looking for
REJECT(D) Books at Falling Embers Bookshop are on sale only if they are either used books or paperbacks. The book I am looking for at Falling Embers is on sale. Therefore, if the book I am looking for is not a paperback, it is a used book.
A = sale
B =used
C = paperback
A-> either B or C
Since A and !C, therefore B
Not the pattern we are looking for
REJECT(E) If Doha owes more money than she can pay back, then she must either get a higher paying job or declare bankruptcy. Doha does in fact owe more than she can pay back, yet she does not want to declare bankruptcy. So, Doha must get a higher paying job.
A = owe money
B = higher pay job
C = bankruptcy
A-> Either B or C
Since A and !C, therefore B
Not the pattern we are looking for
REJECT---------------
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