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

If the equation | x | = ax + 1 has a negative root but no positive root, then the value range of a ()
A. a＞-1B. a＞1C. a≥-1D. a≥1

The equation | x | = ax + 1 has a negative root but no positive root, ∧ - x = ax + 1. X = - 1A + 1, X ＜ 0, - 1A + 1 ＜ 0A + 1 ＞ 0A ＞ - 1