Tìm tập hợp các số nguyên x, biết rằng
\(4\frac{5}{9}:2\frac{5}{{18}} - 7 < x < \left( {3\frac{1}{5}:3,2 + 4,5.1\frac{{31}}{{45}}} \right):\left( { - 21\frac{1}{2}} \right)\)
\(\begin{array}{l}
4\frac{5}{9}:2\frac{5}{{18}} - 7 < x < \left( {3\frac{1}{5}:3,2 + 4,5.1\frac{{31}}{{45}}} \right):\left( { - 21\frac{1}{2}} \right)\\
\Leftrightarrow \frac{{41}}{9}:\frac{{41}}{{18}} - 7 < x < \left( {3\frac{1}{5}:3\frac{1}{5} + \frac{9}{2}.\frac{{76}}{{45}}} \right):\left( {\frac{{ - 43}}{2}} \right)\\
\Leftrightarrow \frac{{41}}{9}.\frac{{18}}{{41}} - 7 < x < \left( {1 + \frac{{38}}{5}} \right).\frac{{ - 2}}{{43}}\\
\Leftrightarrow 2 - 7 < x < \frac{{43}}{5}.\frac{{ - 2}}{{43}}\\
\Leftrightarrow - 5 < x < - \frac{2}{5}
\end{array}\)
Vì x ∈ Z nên x ∈ {-4; -3; -2; -1}
-- Mod Toán 7
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