x>=0
(3x-11)(6-x)-(3x+14)(x-3)/(x-3)(6-x)>0
(18x-66+11x-3x^2-3x^2+42-14x+9x)/(x-3)(6-x)>0
(-6x^2+24x-24)/(x-3)(6-x)>0
(-x^2+4x-4)/(x-3)(6-x)>0
-(x-2)^2/(x-3)(6-x)>0
>02___>03___<06___>0
[0;2) U (2;3) U (6;∞)
x<0
(-3x-11)/(x-3)>(3x+14)/(6-x)
(-18x-66+3x^2+11x-3x^2+9x-14x+42)/(x-3)(6-x)>0
(-12x-24)/(x-3)(6-x)>0
(-x-2)/(x-3)(6-x)>0
(-2;3) U (6;∞) ∩ (-∞;0) = (-2;0)
[0;2) U (2;3) U (6;∞) U (-2;0) =
ответ (-2;2) U (2;3) U (6;∞)
x>=0
(3x-11)(6-x)-(3x+14)(x-3)/(x-3)(6-x)>0
(18x-66+11x-3x^2-3x^2+42-14x+9x)/(x-3)(6-x)>0
(-6x^2+24x-24)/(x-3)(6-x)>0
(-x^2+4x-4)/(x-3)(6-x)>0
-(x-2)^2/(x-3)(6-x)>0
>02___>03___<06___>0
[0;2) U (2;3) U (6;∞)
x<0
(-3x-11)/(x-3)>(3x+14)/(6-x)
(-18x-66+3x^2+11x-3x^2+9x-14x+42)/(x-3)(6-x)>0
(-12x-24)/(x-3)(6-x)>0
(-x-2)/(x-3)(6-x)>0
(-2;3) U (6;∞) ∩ (-∞;0) = (-2;0)
[0;2) U (2;3) U (6;∞) U (-2;0) =
ответ (-2;2) U (2;3) U (6;∞)