\(\dfrac{1}{2}< \dfrac{x}{10}< \dfrac{y}{5}< 1\)
=>\(\dfrac{5}{10}< \dfrac{x}{10}< \dfrac{2y}{10}< \dfrac{10}{10}\)
=>5<x<2y<10
=>\(\left(x;2y\right)\in\left\{\left(6;7\right);\left(6;8\right);\left(6;9\right);\left(7;8\right);\left(7;9\right);\left(8;9\right)\right\}\)
=>\(\left(x;y\right)\in\left\{\left(6;\dfrac{7}{2}\right);\left(6;4\right);\left(6;\dfrac{9}{2}\right);\left(7;4\right);\left(7;\dfrac{9}{2}\right);\left(8;\dfrac{9}{2}\right)\right\}\)
mà x,y nguyên
nên \(\left(x;y\right)\in\left\{\left(6;4\right);\left(7;4\right)\right\}\)