$\text {·Tìm số nguyên x,y}$
`1/(18) < x/(12) < y/9 < 1/4`
`⇔ 2/(36) < (3x)/(36) < (4y)/(36) < 9/(36)`
$\text {→Khử mẫu ta có:}$
`⇔ 2 < 3x < 4y < 9`
$\text {·Nếu }$ `x=1` $\text {thì:}$
`⇒ y =1`
$\text {·Nếu }$ `x=2` $\text {thì:}$
`⇒ y=2`
$\text {·Nếu}$ `x=3` $\text {thì:}$
`⇒` $\text {(Không hợp lệ)}$
$\text {Vậy}$ `x=1` $\text {thì}$ `y=1`
`x=2` $\text {thì}$ `y=2`
$\text {@lamtung2007}$