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
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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
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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
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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.