Question

[Tài khoản dùng để học]

Tìm số nguyên x thỏa mãn -2/7 < 6/x < 3/-13

Answer 1

[Xyz OLM]

Ta có : \(\frac{-2}{7}< \frac{6}{x}< \frac{3}{-13}\Rightarrow\frac{-6}{21}< \frac{-6}{-x}< \frac{-6}{26}\Rightarrow21< -x< 26\Rightarrow-x\in\left\{22;23;24;25\right\}\)

=> \(x\in\left\{-22;-23;-24;-25\right\}\)

Answer 2

[Bùi Anh Tuấn]

Ta có

\(-\frac{2}{7}< \frac{6}{x}< \frac{3}{-13}\)

\(\Rightarrow\frac{-6}{21}< \frac{-6}{-x}< \frac{-6}{26}\)

\(\Leftrightarrow21< -x< 26\)

\(\Rightarrow-x\in\left\{22;23;24;25\right\}\)

hay \(x\in\left\{-22;-23;-24;-25\right\}\)