task/29473800(29466605)

1)  (3x - 1 ) / 2 - (x - 2) / 3  ≥ (x-3) / 4         ||  *12

6(3x -1) - 4(x-3)  ≥ 3 (x-3) ⇔  18x - 6 - 4x+12 ≥ 3x - 9 ⇔  11x  ≥ -15  ⇔ x  ≥ -15/ 11 .

2)  (5 / (x- 2)  - x -2 ) * (2-x) / (x² -6x +9)  =  ( 5 /(x- 2)  - (x +2 ) / 1 )* (2-x) / (x -3)²=

( ( 5 - x² +4) / (x -2) )*   (2 - x ) / (x -3)²=  ( (x² - 9)  /(2- x) )*(2-x) / (x -3)² =

(x - 3)(x+3) / (x -3)²  = (x+3) / (x-3) .   * * *  x ≠ 2* * *

Verified answer

I hope this helps you