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Math Help - Mathematical Reasoning

  1. #1
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    Mathematical Reasoning

    2x + 6 = 1

    Is this a statement or a non-statement ?

    What about 3x+x-6 = 4 ?

    I am not sure whether those equations are true statements or false statements or both since x is a variable.
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  2. #2
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    Quote Originally Posted by Lilkaze View Post
    2x + 6 = 1

    Is this a statement or a non-statement ?

    What about 3x+x-6 = 4 ?

    I am not sure whether those equations are true statements or false statements or both since x is a variable.
    A mathematical statement is one in which the truth value is either true or false, like 1+2=3. Since you cannot attribute a truth value to your example, they would not be considered statements until a value of x becomes part of the hypothesis as in "If x=-5/2 then 2x+6=1".
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  3. #3
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    Quote Originally Posted by Lilkaze View Post
    2x + 6 = 1

    Is this a statement or a non-statement ?

    What about 3x+x-6 = 4 ?

    I am not sure whether those equations are true statements or false statements or both since x is a variable.
    A statement is a phrase for which we can say safely that that phrase is true or no.
    Since we have x, we cannot state that 2x + 6 = 1 or 3x+x-6 = 4 are statements, because we can't judge with security if they're true or not.
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