Question 1186196
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I will solve the second equation, only.



<pre>
The starting equation is

    | x - 2 | - 3 <= 1.


It is equivalent to

    | x - 2 | <= 1 + 3 = 4.


The last equation describes those values / (points in the number line) that

are remoted not far then 4 units from 2.


So the answer is  2 - 4 <= x <= 2 + 4,  or  -2 <= x <= 6.


In the interval form, the solution set is this segment on the number line 

    [-2,6].      <U>ANSWER</U>
</pre>

Solved.