document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=82650>Question 82650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the system of linear inequalities by graphing. x-2y<=4, x>1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59241 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59241\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for y in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-2y%3C=4 ALIGN=MIDDLE  ALT=\"x-2y%3C=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2y%3C=4-x ALIGN=MIDDLE  ALT=\"-2y%3C=4-x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract x from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=%281%2F2%29x-2 ALIGN=MIDDLE  ALT=\"y%3E=%281%2F2%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -2\r<BR>\n" );
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document.write( "So the graph will have the equations <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%281%2F2%29x-2 ALIGN=MIDDLE  ALT=\"y=%281%2F2%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (just replace the inequality signs with an equal sign)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%281%2F2%29x-2%2C+10000%28x-1%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+%281%2F2%29x-2%2C+10000%28x-1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now pick a test point (0,0) and evaluate it for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=%281%2F2%29x-2 ALIGN=MIDDLE  ALT=\"y%3E=%281%2F2%29x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3E=%281%2F2%29%280%29-2 ALIGN=MIDDLE  ALT=\"0%3E=%281%2F2%29%280%29-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3E=-2 ALIGN=MIDDLE  ALT=\"0%3E=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > true. So shade the region containing (0,0). This is the region above the line\r<BR>\n" );
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document.write( "Now pick a test point (0,0) and evaluate it for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E1 ALIGN=MIDDLE  ALT=\"x%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3E1 ALIGN=MIDDLE  ALT=\"0%3E1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3E=-2 ALIGN=MIDDLE  ALT=\"0%3E=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > false. So shade the region that doesn't contain (0,0). This is the region to the right of the line.\r<BR>\n" );
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document.write( "So the solution set will lie in the region that is created by the other two regions overlapping each other.\r<BR>\n" );
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