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anonymous

  • one year ago

Which of the following is the contrapositive of the statement "If it is raining, then I will take my umbrella"?

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  1. UsukiDoll
    • one year ago
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    do you know the converse of the statement?

  2. UsukiDoll
    • one year ago
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    So, our original statement is if it's raining, then I will take my umbrella IF P THEN Q the negation is if it's not raining, then I will not take my umbrella IF NOT P THEN NOT Q what do we need to do to get the converse of the statement? We need this statement before getting the contrapositive.

  3. anonymous
    • one year ago
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    The converse would be if i take my umbrella, then it is raining.

  4. UsukiDoll
    • one year ago
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    yes.... now the contrapositive is like the negation...

  5. UsukiDoll
    • one year ago
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    the negation is a negative version of the original statement the contrapositive is a ???????????? version of the converse statement

  6. UsukiDoll
    • one year ago
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    is it negative or positive?

  7. anonymous
    • one year ago
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    is what negative or positive?

  8. UsukiDoll
    • one year ago
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    the contrapositive .... I'm asking if it's negative or positive? It can only go one way

  9. UsukiDoll
    • one year ago
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    so original statement - positive negation statement - negative converse statement - positive contrapositive statement - ?

  10. UsukiDoll
    • one year ago
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    The converse statement is if Q then P If I take my umbrella, then it's raining. that's a positive statement what's the opposite of positive?

  11. freckles
    • one year ago
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    oh your negation statement is actually the inverse statement the negation statement of if p then q is p and not q but yeah to find the contrapositive you could find the converse of the inverse that should work

  12. UsukiDoll
    • one year ago
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    I thought it goes like this Original Statement If P then Q Negation If NOT P then NOT Q Converse IF Q then P Contrapositive If NOT Q then NOT P

  13. freckles
    • one year ago
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    i'm just saying you are given the wrong title for the if not p then not q thing but everything else looks great

  14. UsukiDoll
    • one year ago
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    that is in my book. the same book I used for my class

  15. UsukiDoll
    • one year ago
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    one of the very few things I understood... x.x ! ! ! !

  16. freckles
    • one year ago
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    http://hotmath.com/hotmath_help/topics/converse-inverse-contrapositive.html http://www.regentsprep.org/regents/math/geometry/gp1/negatecompound.htm hmmm... then I guess the titles aren't universal? not sure about that.

  17. UsukiDoll
    • one year ago
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    the books has it at negation .

  18. UsukiDoll
    • one year ago
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    at least the ones I read

  19. freckles
    • one year ago
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    I guess it is up to the OP to get his definition of negation and inverse so we can better help him.

  20. freckles
    • one year ago
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    what book do you use?

  21. UsukiDoll
    • one year ago
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    umm... let me look it up

  22. UsukiDoll
    • one year ago
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    Passage to Abstract Mathematics was the book I used for my course

  23. freckles
    • one year ago
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    It seems like your book defines it like all the other text I know look at page 18 example 1.4.5. though I don't see anywhere they mention the inverse statement

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