If x is a positive integer, then

(a) x + |x| = 0 (b) x − |x| = 0 (c) x + |x| = −2x (d) x = − |x|

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Solution

If x is positive integer, then |x| = x. So, x + |x| = x + x = 2x and x − |x| = x − x = 0.
Hence, the correct option is (b).

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