No Real Numbers Satisfy Absolute Value Equation

Discussion in 'Algebra' started by nycmathguy, May 29, 2022.

  1. nycmathguy

    nycmathguy

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    IMG_20220528_132643.jpg
     
    nycmathguy, May 29, 2022
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  2. nycmathguy

    MathLover1

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    you have abs(x^2+4x)=-12

    there is no real numbers that satisfy equation because no absolute value is negative number

    by definition, absolute value is a value of a number regardless on its sign
    examples:
    |−5| = 5
    |7| = 7

     
    MathLover1, May 29, 2022
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    In other words, | expression | CANNOT = NEGATIVE NUMBER.

    YES?

    See link:

    Inequality Proofs
     
    nycmathguy, May 29, 2022
    #3
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