document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=218773>Question 218773</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 8-2(x-3)<4(x-10)+8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #164699 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=164699\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8 - 2(x - 3) < 4(x - 10) + 8\r<BR>\n" );
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document.write( "8 - 2x + 6 < 4x - 40 + 8 ----- Distribute to get rid of the parentheses\r<BR>\n" );
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document.write( "- 2x + 14 < 4x - 32\r<BR>\n" );
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document.write( "- 2x - 4x < - 32 - 14\r<BR>\n" );
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document.write( "- 6x < - 46\r<BR>\n" );
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document.write( "x  >  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-46%29%2F-6 ALIGN=MIDDLE  ALT=\"%28-46%29%2F-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or x > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2F3 ALIGN=MIDDLE  ALT=\"23%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or, x > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%287.667%29 ALIGN=MIDDLE  ALT=\"highlight_green%287.667%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You should have realized that the < changes to > because of the divsion by a negative number\r<BR>\n" );
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document.write( "Let's check<BR>\n" );
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document.write( "Since x > 7.667, let's make x = 8\r<BR>\n" );
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document.write( "We then have:\r<BR>\n" );
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document.write( "8 - 2(x - 3) < 4(x - 10) + 8 \r<BR>\n" );
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document.write( "8 - 2(8 - 3) < 4(8 - 10) + 8 \r<BR>\n" );
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document.write( "8 - 2(5) < 4(- 2) + 8 \r<BR>\n" );
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document.write( "8 - 10 < - 8 + 8 \r<BR>\n" );
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document.write( "- 2 < 0 (TRUE) </SPAN>\n" );
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