Question 1148470
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<pre>

The given inequality describes those and only those real numbers x that

2x is remoted from the number 8 on the number line not closer than 10 units.



Hence, 

    EITHER  2x >= 8 + 10 = 18,    ---->  x >= 18/2 = 9

    OR       2x <= 8 - 10 = - 2,  ----> x <= -2/2 = -1.


<U>ANSWER</U>.  The solutions are  x <= -1  or  x >= 9.
</pre>

Solved.



You may get THE SAME ANSWER by writing the given absolute value equation in the form


    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;-10 <= 2x-8 <= 10


and solving this compound inequality.



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See the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/absolute-value/-Absolute-Value-equations.lesson>Absolute Value equations</A>

in this site.