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Solving Inequalities

If x is a neg...

Question

If x is a negative integer, then

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

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Solution

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

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