Thank you a lot if you help :)

Why it's not A: 
 
    -3
  ------ x  + 17  ≥ 53
     8        - 17   - 17
------------------------------
  -3/8x ≥ 36
 --------  -----------
  -3/8x    -3/8x
  
* When dividing by a negative number, you have to flip the inequality sign.

x ≤ -96 

__________________________________________________________

Why it's not C: 

5/7x - 16/7 ≤ 39/7 
       + 16/7  + 16/7
---------------------------
    5/7x  ≤  55/7
   ------      ---------
    5/7          5/7
 
         x ≤ 11
__________________________________________________________

Why it's not D: 

4/9x + 34/3 ≤ 8
        - 34/3 - 34/3
---------------------------
4/9x ≤ -10/3
------    ---------
4/9        4/9 
 
    x ≤ 7.5
__________________________________________________________

The correct answer is B:

4/5x + 7/5 ≥ -5 
         - 7/5  - 7/5 
------------------------
    4/5x ≥ -6.4
   -------  ---------
    4/5       4/5 

        x ≥ 8

  
I'm sorry it took me so long to type up this answer, I hope it helps you.