Question 431873: Determine which, if any, of the three statements are equivalent.
I) If my sister forgets her lines for the play on Friday, then she will not get the part of Juliet.
II) If my sister does not forget her lines for the play on Friday, then she will get the part of Juliet.
III) If my sister gets the part of Juliet, then she did not forget her lines for the play on Friday.
I, II, and III are equivalent
I and II are equivalent
II and III are equivalent
I and III are equivalentIf my sister forgets her lines for the play on Friday, then she will not get the part of Juliet.
None are equivalent
Answer by tinbar(133)   (Show Source):
You can put this solution on YOUR website! I and III are the same.
in general, if you have a statement that says: if p, then q, where p and q are some conditions, then this is the same as saying if not q, then not p.
so your question says: If my sister forgets her lines for the play on Friday, then she will not get the part of Juliet. So the "p" part is: the sister forgetting her lines for the play on Friday, and the "q" part is: she will not get the part of Juliet". so now let's rewrite not q, then not p, she will get the part of juliet, then, the sister will not forget her lines for the play on Friday
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