Найдите количество целых решений системы неравенств. Created by ankakundas. algebra-ru

Найдите количество целых решений системы неравенств...

ankakundas @ankakundas

August 2021 1 13 Report

Найдите количество целых решений системы неравенств

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NNNLLL54

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$\left \{ {{\frac{x}{2}-\frac{7}{4}\ \textgreater \ \frac{5x}{2}-\frac{7}{8}} \atop {\frac{2x+1}{4}\ \textless \ 5-\frac{1-2x}{3}}} \right. \; \left \{ {{\frac{x}{2}-\frac{5x}{2}\ \textgreater \ \frac{7}{4}-\frac{7}{8}} \atop {\frac{2x+1}{4}+\frac{1-2x}{3}\ \textless \ 5}} \right. \; \left \{ {{-\frac{4x}{2}\ \textgreater \ \frac{7}{8}} \atop {\frac{3(2x+1)+4(1-2x)}{12}\ \textless \ 5}} \right. \\\\ \left \{ {{x\ \textless \ -\frac{7}{16}} \atop {\frac{7-2x}{12}\ \textless \ 5}} \right. \; \left \{ {{x\ \textless \ -\frac{7}{16}} \atop {7-2x\ \textless \ 60}} \right. \; \left \{ {{x\ \textless \ -\frac{7}{16}} \atop {x\ \textgreater \ -\frac{53}{2}}} \right.$

$x\in (-\frac{53}{2};-\frac{7}{16})\; \; \; ili\; \; \; x\in (-26,5\; ;\; -0,4375)$

Целые решения от (-26) до (-1).
Количество целых решений = 26.

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