Question 958406
.
need help just cant figure out these problems , have to solve the equations
(a) |2x-7|=3
(b) |x-6|=|2x+1|
(c) |x-4|<3
(d) |x/3 - 1|≥2
thanks
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&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In the post by @lwsshar3, the solutions and the answers to problems (c) and (d) are incorrect.

&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;I came to provide correct solutions to these problems.



.. problem (c)
|x-4| < 3
case 1
x-4 < 3
x < 7
..
case2
-(x-4) < 3
x-4 > -3
x > 1
solution:  1 < x < 7.


.. problem (d)
|x/3 - 1| ≥ 2
case 1
x/3-1 ≥ 2
x/3 ≥ 3
x ≥ 9
case2
x/3-1 <= -2
x/3 <= -1
x <= -3
solution:  x <= -3  or  x >= 9.


Solved correctly.