<PRE><B>Question 962731</B>
2*|3x-1| +1 &lt; 5



2*|3x-1| +1&lt;font color=&quot;blue&quot;&gt;-1&lt;/font&gt; &lt; 5&lt;font color=&quot;blue&quot;&gt;-1&lt;/font&gt; ... Subtract 1 from both sides.



2*|3x-1| &lt; 4



2*|3x-1|&lt;font color=&quot;blue&quot;&gt;/2&lt;/font&gt; &lt; 4&lt;font color=&quot;blue&quot;&gt;/2&lt;/font&gt; ... Divide both sides by 2.



|3x-1| &lt; 2



-2 &lt; 3x-1 &lt; 2



-2&lt;font color=&quot;blue&quot;&gt;+1&lt;/font&gt; &lt; 3x-1&lt;font color=&quot;blue&quot;&gt;+1&lt;/font&gt; &lt; 2&lt;font color=&quot;blue&quot;&gt;+1&lt;/font&gt; ... Add 1 to all sides.



-1 &lt; 3x &lt; 3



-1&lt;font color=&quot;blue&quot;&gt;/3&lt;/font&gt; &lt; 3x&lt;font color=&quot;blue&quot;&gt;/3&lt;/font&gt; &lt; 3&lt;font color=&quot;blue&quot;&gt;/3&lt;/font&gt; ... Divide all sides by 3



-1/3 &lt; x &lt; 1



So the final answer is &lt;font size=5 color=&quot;red&quot;&gt;-1/3 &lt; x &lt; 1&lt;/font&gt;


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