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mimircitychannel
@mimircitychannel
May 2023
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Решите неравентсва с модулям! Последнею Задачу 2|2x-2| < 4 1/3 не надо
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iramazurk
Ответ:
Пошаговое объяснение:
2|2х - 2| < 4. 1/3
1)
2(2х -2) < 4. 1/3 , 2х - 2 ≥ 0
4х - 4 < 4. 1/3
4х < 4. 1/3 + 4
4х < 8. 1/3
4х < 25/3
х < 25/3 : 4
х < 25/3 * 1/4
х < 25/12
х < 2. 1/12 ; х ≥ 1
2)
2(2х - 2) < -4. 1/3, 2х - 2 < 0
4х - 4 < -4. 1/3
4х < -4. 1/3 + 4
4х < -1/3
х > -1/3 : 4
х > -1/3 * 1/4
х > -1/12 , х < 1
х1 є [ 1; 2. 1/12)
х2 Є (-1/12; 1)
Ответ: х Є ( -1/12, 2. 1/12)
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Answers & Comments
Пошаговое объяснение:
2|2х - 2| < 4. 1/3
1)
2(2х -2) < 4. 1/3 , 2х - 2 ≥ 0
4х - 4 < 4. 1/3
4х < 4. 1/3 + 4
4х < 8. 1/3
4х < 25/3
х < 25/3 : 4
х < 25/3 * 1/4
х < 25/12
х < 2. 1/12 ; х ≥ 1
2)
2(2х - 2) < -4. 1/3, 2х - 2 < 0
4х - 4 < -4. 1/3
4х < -4. 1/3 + 4
4х < -1/3
х > -1/3 : 4
х > -1/3 * 1/4
х > -1/12 , х < 1
х1 є [ 1; 2. 1/12)
х2 Є (-1/12; 1)
Ответ: х Є ( -1/12, 2. 1/12)