document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156326>Question 156326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> graph the inequality<BR>\n" );
document.write( "2x+5y>5\r<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 #115133 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=115133\">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=2x%2B5y%3E5 ALIGN=MIDDLE  ALT=\"2x%2B5y%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y%3E5-2x ALIGN=MIDDLE  ALT=\"5y%3E5-2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x ALIGN=MIDDLE  ALT=\"2x\"   DISABLED_style= \"max-width:90%; height:auto;\" > 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%285-2x%29%2F%285%29 ALIGN=MIDDLE  ALT=\"y%3E%285-2x%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   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=y%3E%285-2x%29%2F%285%29 ALIGN=MIDDLE  ALT=\"y%3E%285-2x%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > 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%28-2x%2B5%29%2F%285%29 ALIGN=MIDDLE  ALT=\"y%3E%28-2x%2B5%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E%28-2x%29%2F%285%29%2B%285%29%2F%285%29 ALIGN=MIDDLE  ALT=\"y%3E%28-2x%29%2F%285%29%2B%285%29%2F%285%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E-%282%2F5%29x%2B1 ALIGN=MIDDLE  ALT=\"y%3E-%282%2F5%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
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document.write( "So in order to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B5y%3E5 ALIGN=MIDDLE  ALT=\"2x%2B5y%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we need to graph <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E-%282%2F5%29x%2B1 ALIGN=MIDDLE  ALT=\"y%3E-%282%2F5%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >. But first, we must graph the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F5%29x%2B1 ALIGN=MIDDLE  ALT=\"y=-%282%2F5%29x%2B1\"   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=graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-%282%2F5%29x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-%282%2F5%29x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now plug in the test point (0,0) into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E-%282%2F5%29x%2B1 ALIGN=MIDDLE  ALT=\"y%3E-%282%2F5%29x%2B1\"   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-%282%2F5%290%2B1 ALIGN=MIDDLE  ALT=\"0%3E-%282%2F5%290%2B1\"   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( "Since the inequality is false, this means that we shade the entire region that does NOT contain (0,0). So this means that we shade everything above the line\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B1%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B2%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B3%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B4%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B5%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B6%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B7%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B8%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B9%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B10%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B11%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B12%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B13%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B14%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B15%29%2C%0D%0Agraph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C-%282%2F5%29x%2B1%2C-%282%2F5%29x%2B1%2B16%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E-%282%2F5%29x%2B1 ALIGN=MIDDLE  ALT=\"y%3E-%282%2F5%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > where the boundary (which should be a dotted line) is the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-%282%2F5%29x%2B1 ALIGN=MIDDLE  ALT=\"y=-%282%2F5%29x%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the shaded region is in green. </SPAN>\n" );
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