Which of the following expressions is equal to $0$ for some value of $x$ ?

| x - 1 | - 1

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| x + 1 | + 1

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| 1 - x | + 1

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| x - 1 | + 1

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Solution

The correct option is A $| x - 1 | - 1$
Since, $| a |$ of any number is non negative and if add any number to it will become positive.
Hence, out of all option option A for $x = 0$ hold.
All other option gives positive mean non zero positive vlaue.

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