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Math Help - Conditional statements

  1. #1
    Newbie not4nothing's Avatar
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    Conditional statements

    As a problem i was given a statement. I am a high school sophomore in the 10th grade.
    Then i was told to turn the statement into a;

    Conditional statement: If I'm a high school sophomore, then i will be in the 10th grade.

    Converse: If I'm in the 10th grade then I'm probably a highschool sophomore.

    Biconditional: I'm a sophomore if and only if im in the 10th grade.

    Conclusion: The Biconditional is true.

    How did i do? Are they correctly written?
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  2. #2
    MHF Contributor

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    Quote Originally Posted by not4nothing View Post
    As a problem i was given a statement. I am a high school sophomore in the 10th grade.
    Then i was told to turn the statement into a;

    Conditional statement: If I'm a high school sophomore, then i will be in the 10th grade.
    I'll accept that. Strictly speaking there is no way to change "A and B" into "If A then B". They are different statements. I might argue with the "will be" rather than "am". "Will be" implies something that will happen in the future.

    Converse: If I'm in the 10th grade then I'm probably a highschool sophomore.
    "Probably"? There is no "probably" in the origina statement. The converse of "if A then B" is "if B then A". The converse is "if I am in the 10th grade then I am a sophomore."

    Biconditional: I'm a sophomore if and only if im in the 10th grade.

    Conclusion: The Biconditional is true.

    How did i do? Are they correctly written?
    It's not clear what the question was! You said only "turn the statement into". Where did that "conclusion" come from?
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  3. #3
    Newbie not4nothing's Avatar
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    Oh ok i see what you are saying, with the converse and conditional.

    I was to state in my conclusion whether the biconditional statement is true.

    To see what the problem that i am to solve more clearly here is the pdf file that i was able to find.


    https://netfiles.uiuc.edu/emorriso/w...heets/P2.3.pdf
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