<PRE><B>Question 171806</B>
{{{-17&lt;=4x-4&lt;=-3}}} Start with the given compound inequality.



{{{-17+4&lt;=4x&lt;=-3+4}}} Add 4 to all sides



{{{-13&lt;=4x&lt;=1}}} Combine like terms.



{{{(-13)/4&lt;=x&lt;=1/4}}} Divide all sides by 4.



So the answer is {{{-13/4&lt;=x&lt;=1/4}}}



So the answer in interval notation is   &lt;font size=&quot;8&quot;&gt;[&lt;/font&gt;*[Tex \LARGE \bf{-\frac{13}{4},\frac{1}{4}}]&lt;font size=&quot;8&quot;&gt;]&lt;/font&gt;



Also, the answer in set-builder notation is  *[Tex \LARGE \left\{x\|-\frac{13}{4} \le x \le \frac{1}{4}\right\}]


</PRE>