Question

Giá trị x > 0 nguyên thỏa mãn \(-\frac{7}{3}< \left|\frac{2}{7}-x\right|-\frac{5}{2}< -\frac{7}{4}\)

Answer 1

\(-\dfrac{7}{3}< \left|x-\dfrac{2}{7}\right|-\dfrac{5}{2}< -\dfrac{7}{4}\)

=>1/6<|x-2/7|<3/4

\(\Leftrightarrow\left\{{}\begin{matrix}x\in\left(-\infty;\dfrac{5}{42}\right)\cup\left(\dfrac{19}{42};+\infty\right)\\x\in\left(-\dfrac{13}{28};\dfrac{29}{28}\right)\end{matrix}\right.\)

mà x là số nguyên

nên \(x\in\left\{0;1\right\}\)