document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=179058>Question 179058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi! i really need your help. I have to solve the following inequality, write the solution set in interval notation:\r<BR>\n" );
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document.write( "3+2(x-1)<5+8(x-2)\r<BR>\n" );
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document.write( "Thanks So Much </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #134014 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=134014\">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 3 + 2(x - 1) < 5 + 8(x - 2)\">\r<BR>\n" );
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document.write( "First get rid of the parentheses using the distributive property:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3 + 2x - 2 < 5 + 8x - 16\">\r<BR>\n" );
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document.write( "Collect:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 1 + 2x < 8x - 11\">\r<BR>\n" );
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document.write( "Add -8x and -1 to both sides:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -8x + 2x < -11 - 1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -6x < -12\">\r<BR>\n" );
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document.write( "Multiply by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -{1 \over 6}\"> and remember to reverse the sense of the inequality because of multiplying by a number less than zero.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x > 2\">\r<BR>\n" );
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document.write( "Interval notation:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (2, \infty)\"> \r<BR>\n" );
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document.write( "Set builder notation:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \{x | x \in \Re \text {, } \math x > 2\}\">\r<BR>\n" );
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document.write( "</font> </SPAN>\n" );
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