document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=182584>Question 182584</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok, I am having a hard time trying to figure out this problem any help would be greatly appreciated. Thank you. \r<BR>\n" );
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document.write( "Solve the following inequality. Write the answer in interval notation. Note: If the answer includes more than one interval write the intervals separated by the \"union\" symbol, U. \r<BR>\n" );
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document.write( "Problem : \r<BR>\n" );
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document.write( " 4|x+4|-1<6<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #137075 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=137075\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 4 |x + 4| - 1 < 6\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math 4 |x + 4|  < 7\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math |x + 4|  < \frac{7}{4}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math |w| < z \ \ \Rightarrow\ \ w < z \text{ or }\math -w < z\">, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math x + 4 < \frac{7}{4}\ \ \Rightarrow\ \ x < \frac{7}{4} - 4 = \frac{-9}{4}\">, or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math -(x + 4)  < \frac{7}{4}\ \ \Rightarrow\ \ -x < \frac{7}{4} + 4 \ \ \Rightarrow\ \ -x < \frac{23}{4} \ \ \Rightarrow\ \ x > \frac{-23}{4}\">\r<BR>\n" );
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document.write( "(Note the sense change on the inequality after multiplying by -1)\r<BR>\n" );
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document.write( "Therefore the solution set interval is \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \text{          }\math \left( -\frac{23}{4}, -\frac{9}{4}\right)\">\r<BR>\n" );
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document.write( "Notice that the interval endpoints are indicated with parentheses rather than square brackets.  The original inequality symbol was < rather than <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \leq\"> meaning the endpoints are excluded. \r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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