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Math Help - What does it mean to form a General Statement?

  1. #1
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    What does it mean to form a General Statement?

    Is a general statement an expression or is it a sentence explaining something?

    Example:
    Form a general statement that represents all the values of x.

    - Would I use a formula/expression/etc. as the general statement, or would it be like a sentence?


    Second question:
    What does it mean by scopes and/or limitations of the general statement?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by SunshineJx View Post
    Is a general statement an expression or is it a sentence explaining something?

    Example:
    Form a general statement that represents all the values of x.

    - Would I use a formula/expression/etc. as the general statement, or would it be like a sentence?


    Second question:
    What does it mean by scopes and/or limitations of the general statement?
    both. in this case, to need sentences and expressions (or you can use logic symbols instead).

    example: For all real numbers x, x^2 \ge 0

    using logic symbols, you could write: \forall x \in \mathbb{R}, x^2 \ge 0

    This is a general statement about real numbers.


    scope refers to what the statement applies to. limitations talks about what it does not apply to. concerning real numbers, the scope of my statement is universal, meaning, it covers all real numbers. there are no limitations--no real number falls outside the scope of my statement
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    Thanks! But what does it mean by scopes and limitations?
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by SunshineJx View Post
    Thanks! But what does it mean by scopes and limitations?
    i addressed that. what don't you understand?
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  5. #5
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    Oh okay, I didn't see that part before, sorry.
    I understand now, thank you!
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