Question

Tìm các số nguyên x, thỏa mãn:

Answer 1

\(2\dfrac{3}{11}\cdot1\dfrac{1}{12}\cdot\left(-2,2\right)< x< \left(0,4-\dfrac{4}{5}\right)\cdot\left(\dfrac{3}{4}-0,2\right)\)

\(\Rightarrow\dfrac{22+3}{11}\cdot\dfrac{12+1}{12}\cdot\left(-2,2\right)< x< \left(\dfrac{2}{5}-\dfrac{4}{5}\right)\cdot\left(\dfrac{3}{4}-\dfrac{1}{5}\right)\)

\(\Rightarrow\dfrac{25}{11}\cdot\dfrac{13}{12}\cdot-\dfrac{11}{5}< x< -\dfrac{2}{5}\cdot\dfrac{11}{20}\)

\(\Rightarrow-\dfrac{25\cdot13}{12\cdot5}< x< -\dfrac{11}{5\cdot10}\)

\(\Rightarrow-\dfrac{65}{12}< x< -\dfrac{11}{50}\)

Các số \(x\in Z\) thỏa mãn là: \(x\in\left\{-5;-4;-3;-2;-1\right\}\)