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

Question

The set of all $a \in ℝ$ for which the equation $x | x - 1 | + | x + 2 | + a = 0$ has exactly one real root, is

(- 7, \infty)

(- \infty, \infty)

(- 6, - 3)

(- \infty, - 3)

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