(x-2)/(x²-9x+14)+2/13<0<br>(13x-26+2x²-18x+28)/(x²-9x+14)<0<br>(2x²-5x+2)/(x²-9x+14)<0<br>2x²-5x+2=0
D=25-16=9
x1=(5-3)/4=1/2
x2=(5+3)/4=2
x²-9x+14=0
x1+x2=9 U x1*x2=14
x1=2 U x2=7
2(x-1/2)(x-2)/(x-2)(x-7)<0<br>2(x-1/2)/(x-7)<0,x≠2<br>
+ _ _ +
-------(1/2)---------(2)----------(7)---------
x∈(1/2;2) U (2;7)
целые:1,3,4,5,6
Ответ 5