Question

1) {3 x + (5 x - 2) < 3 - 2 x, 4(5x - 1) - 21x > 1 - 3 x;2){17 - 11 x < 9 x - 2(5x +7)6 - x > 2(1 - 4x) - 3(1 - 3 x ).​ Смотреть ответ это 10 класс ludmilaksenija2005 ludmilaksenija2005 Пошаговое объяснение: 1) {3х+(5х-2)<3-2х {4(5х-1)-21х>1-3х {3х+5х-2<3-2х {20х-4-21х>1-3х {8х+2х<3+2 {-х+3х>1+4 {10х<5 {2х>5 {Х<0,5 {Х>2,5 Ответ :х не имеет решений 2. {17-11х<9х-2(5х+7) {6-х>2(1-4х)-3(1-3х) {17-11х<9х-10х-14 {6-х>2-8х-3+9х {-11х-9х+10х< - 14-17 {-х+8х-9х> 2-3-6 {-10х<-31 {-2х>-7 {Х>3,1 {Х<3,5 Ответ : х€(3,1;3,5) огромное спасибо Новые вопросы в Математика Аня Малика Нигина заказывай ужин на доставку либо говядину либо курицу Если Аня заказывает говядину Малика заказывает курицу либо Аня либо Нигина зака … зывать говядину но не обе Малика и Нигина не заказывает курицу кто заказал говядину вчера на сегодня курицу ​ ДАЮ 100 БАЛІВ1/2•2+36=xВирішити рівняннямУ кінці має вийти 72​ Іван прочитав за перший Іван прочитав книгу. За перший день вiн прочитав 12 усієї книги, за другий - в 2 рази більше, ніж за перший, а за третій- решт … у 36 сторінок. Скільки сторінок у книзі?!!!!! допоможіть будь ласка даю 100 балів день Але рівнянням розв'язок ​ В двух корзинах 240 яблок в первой корзине в семь раз больше чем во второй сколько яблок в каждой корзине Из четырех коробок 200 кг яблок сколько коробок нужно добавить, чтобы масса яблок увеличилась на 25% ? Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Answer 1

Давайте разберемся с этими неравенствами шаг за шагом:

1. a) 3x + (5x - 2) < 3 - 2x

Раскроем скобки:

3x + 5x - 2 < 3 - 2x

Теперь сгруппируем все переменные с x на одной стороне, а числа на другой:

3x + 5x + 2x < 3 + 2x

Сложим коэффициенты при x:

10x < 3 + 2x

Теперь вычтем 2x с обеих сторон:

10x - 2x < 3 + 2x - 2x

8x < 3

И разделим обе стороны на 8:

x < 3/8

x < 0.375

Ответ: x < 0.375

b) 4(5x - 1) - 21x > 1 - 3x

Раскроем скобки:

20x - 4 - 21x > 1 - 3x

Теперь сгруппируем все переменные с x на одной стороне, а числа на другой:

20x - 21x + 3x > 1 + 4

Сложим коэффициенты при x:

2x > 5

И разделим обе стороны на 2:

2x/2 > 5/2

x > 5/2

Ответ: x > 2.5

Итак, решение первой системы неравенств:

x < 0.375 (первое неравенство) x > 2.5 (второе неравенство)

Эта система не имеет пересечения, так как нет значения x, которое бы одновременно удовлетворяло обоим неравенствам. Ответ: решений нет.

2. a) 17 - 11x < 9x - 2(5x + 7)

Раскроем скобки:

17 - 11x < 9x - 10x - 14

Упростим:

17 - 11x < -x - 14

Теперь добавим x и 14 с обеих сторон:

17 + 14 < -x + 11x

31 < 10x

И разделим обе стороны на 10:

31/10 < 10x/10

3.1 < x

Ответ: x > 3.1

b) 6 - x > 2(1 - 4x) - 3(1 - 3x)

Раскроем скобки:

6 - x > 2 - 8x - 3 + 9x

Упростим:

6 - x > -1 + x

Теперь добавим x и 1 с обеих сторон:

6 + 1 > x + x

7 > 2x

И разделим обе стороны на 2:

7/2 > 2x/2

3.5 > x

Ответ: x < 3.5

Итак, решение второй системы неравенств:

x > 3.1 (первое неравенство) x < 3.5 (второе неравенство)

Эта система имеет пересечение, и решение будет:

x € (3.1, 3.5)

Надеюсь, это помогло вам разобраться с решением данных систем неравенств.