{1-x>0⇒x<1<br>{(3+5x/3)/(3+6x)≥0⇒
3+5x/3=0 5x/3=-3 x=-1,8
3+6x=0 6x=-3 x=-2
+ _ +
----------------(-2)----------------[-1,8]-----------
x<-2 U x≥-1,8<br>{(3+5x/3)/(3+6x)≤(1-x)²
(9+5x)/(9+18x)-(1-2x+x²)≤0
(9+5x-9+18x-9x²-18x+36x²-18x³)/(9+18x)≤0
(18x³+27x²-5x)/(9+18x)≥0
x(18x²+7x-5)/(9+18x)≥0
x=0
18x²+27x-5=0
D=729+360=1089
x1=(-27-33)/36=-5/3
x2=(-27+33)/36=1/6
9+18x=0
18x=-9
x=-0,5
+ _ + _ +
---------------[-5/3]------------(-0,5)--------[0]-------------[1/6]----------------
x≤-5/3 U -0,5Общее x∈[-1,8;-5/3] U (-0,5;;0] U [1/6;1]