Question

(6x-3)/2 - (2x-6) >= (x-3)/4

Answer 1

(6x-3)/2 -(2x -6) >= (x-3)/4
((6x-3) -(4x -12))/2 >= (x-3)/4
(6x-3-4x +12)/2 >= (x-3)/4
4*(6x-3-4x +12) >= (x-3)*2
4*(2x+9)>=2x -6
8x +36 >= 2x -6
8x -2x >= -6 -36
6x >= -42
x>= -42/6
x>= -7

Comprobando
(6x-3)/2 -(2x -6) >= (x-3)/4
(6(-7)-3)/2 -(2(-7)-6)>= (-7-3)/4
(-42 -3)/2 -(-14-6)>= -10/4
-45/2 - (-20)>= -10/4
-45/2 + 20>= -10/4
-45/2 +40/2 >= -10/4
-5/2>= -5/2
Por lo tanto esta correcto.