Решить неравенство: | 4x + 8 | - | 3 - 2x | <= 14

| 4 * x + 8 | - | 3 - 2 * x | < = 14 ; | 4 * x + 8 | < = 14 + | 3 - 2 * x |; Система: { 4 * x + 8 < = 14 + | 3 - 2 * x |; - ( 4 * x + 8 ) < = 14 + | 3 - 2 * x |; { 4 * x + 8 - 14 < = | 3 - 2 * x |; - 4 * x - 8 - 14 < = | 3 - 2 * x |; { 4 * x - 6 < = | 3 - 2 * x |; - 4 * x - 22 < = | 3 - 2 * x |; { | 3 - 2 * x | > = 4 * x - 6 ; | 3 - 2 * x | > = - 4 * x - 22 ;Система: { 3 - 2 * x > = 4 * x - 6 ; 3 - 2 * x < = - ( 4 * x - 6 ) ; 3 - 2 * x > = - 4 * x - 22 ; 3 - 2 * x < = - ( - 4 * x - 22 ) ; { 3 - 2 * x > = 4 * x - 6 ; 3 - 2 * x < = - 4 * x + 6 ; 3 - 2 * x > = - 4 * x - 22 ; 3 - 2 * x < = 4 * x + 22 ; { - 2 * x - 4 * x > = - 6 - 3 ; - 2 * x + 4 * x < = 6 - 3 ; - 2 * x + 4 * x > = - 22 - 3 ; - 2 * x - 4 * x < = 22 - 3 ; { - 6 * x > = - 9 ; 2 * x < = 3 ; 2 * x > = - 25 ; - 6 * x < = 19 ; { x < = 3 / 2 ; x < = 3 / 2 ; x > = - 25 / 2 ; x > = - 19 / 6 ; { x < 1.5 ; x > = - 12.5 ; x > = - 19 / 6 ; Отсюда: - 19 / 6 < = x < 1.5.