SOLUTION: how would you solve this problem |6x - 1| - 4 =< 2

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Question 621875: how would you solve this problem
|6x - 1| - 4 =< 2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
how would you solve this problem
|6x - 1| - 4 =< 2
solve for two conditions: (6x-1) and -(6x-1)
(6x - 1) - 4 ≤ 2
6x - 1 - 4≤ 2
6x ≤ 7
x≤7/6
..
and
-(6x - 1) - 4 ≤ 2
-6x +1 - 4 ≤ 2
-6x ≤ 5
x≥-5/6
..
number line:
<.........[-5/6<====>7/6]............>
solution: [-5/6,7/6]