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The set of all a ∈ IR for which the equation x |x – 1| + |x + 2| + a = 0 has exactly one real root, is

1. (–6, ∞ )
2. (– ∞ , ∞ )
3. (–6, – 3)
4. (– ∞ , –3)

Correct answer: (– ∞ , ∞ )

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