1)(x²-7x+12)/(x²-5x+6)≤0
(x-3)(x-4)/(x-3)(x-2)≤0
x≠3 (x-4)/(x-2)≤0
x=4 x=2
+ _ +
__________________
2 4
x∈(2;3) U (3;4]
2)(x-1)/(4x+5)<(x-3)/(4x-3)<br>(4x²-4x-3x+3-4x²+12x-5x+15)/(4x+5)(4x-3)<0<br>18/(4x+5)(4x-3)<0<br>x =-1,25 x=0,75
+ _ +
________________________
-1,25 0,75
x∈(-1,25;0,75)
3)(x²+7x+6)/(x²-x-2)≤0
(x+1)(x+6)/((x+1)(x-2)≤0
x≠-1
(x+6)/(x-2)≤0
x=-6 x=2
+ _ +
________________________________
-6 2
x∈[-6;-1) U (-1;2)
4)3x²-4x+5≤0
D=4-60=-56<0<br>нет решения
5)(x-2)²<25<br>(x-2-5)(x-2+5)<0<br>(x-7)(x+3)<0<br>x=7 x=-3
+ _ +
___________________________________
-3 7
x∈(-3;7)
6)(2x-1)/(2x-3) + 1<0<br>(2x-1+2x-3)/(2x-3)<0<br>(4x-4)/(2x-3)<0<br>x=1 x=1,5
+ _ + _____________________________
1 1,5
x∈(1;1,5)
7)(5-х)/(х-6) <2/3<br>(15-3x-2x+12)/(x-6)<0<br>(27-6x)/(x-6)<0<br>x=4,5 x=6
+ _ +
__________________________________
4, 5 6
x∈(4,5;6)