Краткое пояснение: Проверим каждое неравенство, выполнив вычисления и сравнив результаты.
- Неравенство 1: 478 ⋅ 24 < 478 ⋅ (3 ⋅ 9)
- 478 ⋅ 24 = 11472
- 478 ⋅ (3 ⋅ 9) = 478 ⋅ 27 = 12906
- 11472 < 12906 - верно
- Неравенство 2: 356 ⋅ 10 ⋅ 6 > 356 ⋅ 16
- 356 ⋅ 10 ⋅ 6 = 3560 ⋅ 6 = 21360
- 356 ⋅ 16 = 5696
- 21360 > 5696 - верно
- Неравенство 3: 296 ⋅ 80 > 296 ⋅ (10 + 8)
- 296 ⋅ 80 = 23680
- 296 ⋅ (10 + 8) = 296 ⋅ 18 = 5328
- 23680 > 5328 - верно
- Неравенство 4: 134 ⋅ 19 < 134 ⋅ 9 ⋅ 10
- 134 ⋅ 19 = 2546
- 134 ⋅ 9 ⋅ 10 = 1206 ⋅ 10 = 12060
- 2546 < 12060 - верно
Ответ: Все неравенства верны.