Re: -|-x| or -(x)
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03 Jan 2024, 01:26
if \(x \neq 0\), then \(x\) can be positive or negative.
\(|-x|\) will always be positive, irrespective of the sign of \(x\). So quantity A is always negative.
\(-(x)\) may be positive or negative depending on the sign of \(x\). So quantity B is either positive or negative.
Hence, sometimes Quantity A is greater than Quantity B and at other times Quantity B is greater than Quantity A. Thus there is no definable relationship between them.
The Answer is Choice D.