<PRE><B>Question 894034</B>
|8-4x| &lt; 6 &lt;P&gt;
What&#39;s inside the absolute value can be either positive or negative, because absolute value makes everything positive.&lt;P&gt;
For the positive value:  8-4x&lt;6&lt;P&gt;
-4x &lt;-2&lt;P&gt;
x &gt; 2/4 &lt;P&gt;
x&gt;1/2&lt;P&gt;

For the negative value:  -(8-4x) &lt;6&lt;P&gt;
-8 + 4x &lt;6&lt;P&gt;
4x &lt; 14&lt;P&gt;
x &lt; 14/4&lt;P&gt;
x&lt;7/2&lt;P&gt;
The solution is 1/2 &lt; x &lt; 7/2</PRE>