Given that the equation | x | = ax + 1 has a negative root but no positive root, the value range of a is () A. A ≥ 1b. A < 1C. - 1 < a < 1D. A > - 1 and a ≠ 0

Given that the equation | x | = ax + 1 has a negative root but no positive root, the value range of a is () A. A ≥ 1b. A < 1C. - 1 < a < 1D. A > - 1 and a ≠ 0

∵ the equation | x | = ax + 1 has a negative root but no positive root, ∵ x < 0, the equation is changed to: - x = ax + 1, X (a + 1) = - 1, x = − 1A + 1 < 0, ∵ a + 1 > 0, ∵ a > - 1, and a ≠ 0. If x > 0, | x | = x, x = ax + 1, x = 11 − a > 0, then 1-A > 0, the solution is a < 1. ∵ a < 1 is not established without positive root, ∵ a > 1. Therefore, select a