Чтобы вычесть, умножим второе неравенство на (-1) и при этом сменим знак 5≤4² -1/25≥-1/16 Запишем второе неравенство иначе 5≤4² -1/16≤-1/25 Складываем 5- (1/16) ≤ 16- ( 1/25) ответ. 4 целых 15/16 ≤15 целых 24/25 2) Найти предел значения выражения 5х-3у , если : 3,13≤х≤3,14 7,28≤у≤7,29
5·3,13≤5х≤5·3,14 3·7,28≤3у≤3·7,29
15,65 ≤5х≤15,7 21,84≤3у≤21,87
Умножаем второе неравенство на (-1), меняем знаки и складываем:
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Must Waste More Time...
1/25≤1/16
Складываем
5+ (1/25) ≤ 16+ (1/16)
ответ.
5 целых 1/25 ≤ 16 целых 1/16
Чтобы вычесть, умножим второе неравенство на (-1) и при этом сменим знак
5≤4²
-1/25≥-1/16
Запишем второе неравенство иначе
5≤4²
-1/16≤-1/25
Складываем
5- (1/16) ≤ 16- ( 1/25)
ответ.
4 целых 15/16 ≤15 целых 24/25
2) Найти предел значения выражения 5х-3у , если :
3,13≤х≤3,14
7,28≤у≤7,29
5·3,13≤5х≤5·3,14
3·7,28≤3у≤3·7,29
15,65 ≤5х≤15,7
21,84≤3у≤21,87
Умножаем второе неравенство на (-1), меняем знаки и складываем:
15,65 ≤5х≤15,7
-21,87≤-3у≤-21,84
15,65-21,87 ≤ 5х - 3у ≤ 15,7 - 21,84
-6,22 ≤ 5х - 3у ≤ 6,14