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

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

Answer by lwsshak3(11628)   (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]

RELATED QUESTIONS

How would you solve this problem? 9/4 +... (answered by solver91311)
would you please help me how to solve this problem y=-6^2+3x and y=-3x-6x-1... (answered by jojo14344)
How do you solve this problem? 1/3 (6x -18) =... (answered by Fombitz)
how do you solve this problem?... (answered by LilSkittleMd)
can you explain to me how I would solve this problem =(3x+1/2)+[a(7x-4... (answered by Alan3354)
6x-4= 1 How do you solve this... (answered by rfer,drj)
How would you solve... (answered by checkley77)
how would you solve this problem |2x - 1| => 1/8 (answered by lwsshak3)
Using substitution, how would you solve this problem. 5x+9y=-16 (answered by Fombitz)