Предмет: Алгебра, автор: Kisrus343

10-|5х-4|>-2 сумма целых решений неравенства

Ответы

Автор ответа: Аноним
0

 10-|5x-4|>-2\\ -|5x-4|>-12~~|\cdot(-1)\\ |5x-4|<12

Последнее неравенство эквивалентно двойному неравенству:


 -12<5x-4<12~~|+4\\ -8<5x<16~~|:5\\ \\ -1.6<x<3.2


Сумма целых решений неравенства: -1 + 0 + 1 + 2 + 3 = 5.



Ответ: 5.

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