• 2021 December(E23) Math Question 50

    Absolute Values

    - Absolute Value Expressions

    Absolute value, Squares and Square Roots
    Choice J

    As given, x is a real number and

    {x2}≠x\sqrt\{x^2\}\neq x

    As we know that

    {x2}=∣x∣\sqrt\{x^2\}=|x|

    Therefore:

    ∣x∣≠x|x|\neq x

    For this to be true, x must be negative.

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