6x-1 3x-2
--------- ≤ -----------
4x+3 2x -1
(6x-1)(2x-1) (3x-2)(4x+3)
--------------- - --------------------- ≤ 0
(4x+3)·(2x-1) ( 2x -1)· (4x+3)
12x²-2x-6x+1-(12x²-8x+9x-6) -8x+1-x+6 -9x+7
--------------------------------------≤0 ⇔ ------------------- ≤0⇔ ---------------------≤0
( 2x -1)· (4x+3) ( 2x -1) ·(4x+3) ( 2x -1)· (4x+3)
-9x+7=0 x1=7/9
( 2x -1)· (4x+3)=0 x2=1/2 x3=-3/4
+ - + -
------------------(-3/4)/////////////////(1/2)-------------------------[7/9]//////////////////////////
x∈(-3/4; 1/2)∪[7/9;∞)