Which of the following statements is false? -|-5| = -5
-|5| = -5
-(-5) = 5
|-5| = -5

|-5| ≠ -5

Step-by-step explanation:

Lets check each one:

-|-5| = -(5) = -5      Correct

-|5| = -(5) = -5       Correct

-(-5) = 5                Correct

|-5| = 5                 Incorrect

Any negative number inside of the absolute value brackets turns positive.

Any positive number inside of the absolute value brackets stays positive.

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-Chetan K