x-4/6 (>_) x-2/9 +5/18?

(x - 4)/6 ≥ (x - 2)/9 + 5/18
18(x - 4)/6 ≥ 18[(x - 2)/9 + 5/18]
3(x - 4) ≥ 2(x - 2) + 5
3*x - 3*4 ≥ 2*x - 2*2 + 5
3x - 12 ≥ 2x - 4 + 5
3x - 2x ≥ 12 + 1
x ≥ 13

GUESSING that you mean :-
(x - 4) / 6 ≥ (x - 2) / 9 + 5 / 18
3x - 12 ≥ 2x - 4 + 5
x ≥ 13

x - 4/6 >= x - 2/9 + 5/18

add -x to both sides:

-4/6 >= -2/9 + 5/18
-2/3 >= -4/18 + 5/18
-2/3 >= 1/18

the inequality is invalid. Please check if you copied the problem correctly