Question

|2x-1|<|4x+1| решите уравнение

Answer 1

|2x-1|<|4x+1|

|2x-1|²<|4x+1|²

(2x-1)²-(4x+1)² < 0

(2x - 1 - 4x - 1)(2x - 1 + 4x + 1) < 0

(-2x - 2)6x <0

(x-1)x > 0

+++++++++ (0) ----------------(1) ++++++++

x∈(-∞, 0) U (1, +∞)