\(\dfrac{1}{5}+\dfrac{2}{7}-1< x< \dfrac{13}{3}+\dfrac{6}{5}+\dfrac{4}{15}\)
\(\Rightarrow\dfrac{7}{35}+\dfrac{10}{35}-\dfrac{35}{35}< x< \dfrac{65}{15}+\dfrac{18}{15}+\dfrac{4}{15}\)
\(\Rightarrow\dfrac{-18}{35}< x< \dfrac{29}{5}\)
\(\Rightarrow x\in\left\{0;1;2;...;5\right\}\)
=>-18/35<x<29/5
mà x là số nguyên
nên \(x\in\left\{0;1;2;3;4;5\right\}\)