document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131317>Question 131317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the problem is: solve for x and graph on a number line. \r<BR>\n" );
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document.write( "5 - 3x > 10x - 8\r<BR>\n" );
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document.write( "i came up with X > 1\r<BR>\n" );
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document.write( "and when i graphed the problem i started at 1 (i drew the circle NOT shadded in) and drew the arrow going in the positive direction.\r<BR>\n" );
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document.write( "i can't figure out the right solution for this problem. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95843 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=95843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+3x+%3E+10x+-+8 ALIGN=MIDDLE  ALT=\"5+-+3x+%3E+10x+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add -5 to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3x%3E10x-13 ALIGN=MIDDLE  ALT=\"-3x%3E10x-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Add -10x to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-13x%3E-13 ALIGN=MIDDLE  ALT=\"-13x%3E-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now divide both sides by -13, but remember that if you multiply or divide both sides of an inequality by a negative number, you have to reverse the sense of the inequality.  Look at an example using specific numbers:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3C3 ALIGN=MIDDLE  ALT=\"2%3C3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is clearly a true statement, but if you multiply both sides by a -1, you get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > on one side and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the other side, but the 'less than' sign is no longer correct because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2 ALIGN=MIDDLE  ALT=\"-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is actually greater than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So back to your problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-13x%3E-13 ALIGN=MIDDLE  ALT=\"-13x%3E-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Divide by -13 and turn the inequality sign around:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1 ALIGN=MIDDLE  ALT=\"x%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So your number line graph should have the open circle at 1, but the arrow needs to go to the left (in the negative direction).\r<BR>\n" );
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document.write( "So, let's prove the answer with a couple of examples.  0 is less than 1, so let's substitute 0 for x into the original inequality:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+3%280%29%3E+10%280%29+-+8 ALIGN=MIDDLE  ALT=\"5+-+3%280%29%3E+10%280%29+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%3E-8 ALIGN=MIDDLE  ALT=\"5%3E-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is a true statement.  So far, so good.\r<BR>\n" );
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document.write( "2 is greater than 1, so plug in a 2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+3%282%29+%3E+10%282%29+-+8 ALIGN=MIDDLE  ALT=\"5+-+3%282%29+%3E+10%282%29+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5+-+6+%3E+20+-+8 ALIGN=MIDDLE  ALT=\"5+-+6+%3E+20+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%3E12 ALIGN=MIDDLE  ALT=\"-1%3E12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, is most assuredly a false statement.  That's a pretty good indication that you have properly defined the solution set interval for your inequality. </SPAN>\n" );
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