document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149190>Question 149190</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how to solve this equation x+y<5 x-y>1 by using the graphs of linear inequalities<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 #109451 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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=109451\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Plot the two lines - don't worry about the inequality yet<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+=+5 ALIGN=MIDDLE  ALT=\"x+%2B+y+=+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+-x+%2B+5 ALIGN=MIDDLE  ALT=\"y+=+-x+%2B+5\"   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=x+-+y+=+1 ALIGN=MIDDLE  ALT=\"x+-+y+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x+-+1 ALIGN=MIDDLE  ALT=\"y+=+x+-+1\"   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%28600%2C400%2C+-10%2C+10%2C+-10%2C+10%2C+-x+%2B+5%2C+x+-+1%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C+-10%2C+10%2C+-10%2C+10%2C+-x+%2B+5%2C+x+-+1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "As you can see, the two lines cut the plane into 4 pieces. \r<BR>\n" );
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document.write( "Now let's look at the inequalities again.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+%3C+5 ALIGN=MIDDLE  ALT=\"x+%2B+y+%3C+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3C+-x+%2B+5 ALIGN=MIDDLE  ALT=\"y+%3C+-x+%2B+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since this equation does NOT include an equality, draw the line that is sloping downward (the slope for this line = -1) using a dashed line.<BR>\n" );
document.write( "Next, since the inequality is < (less than), shade the area BELOW that line.\r<BR>\n" );
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document.write( "Do the same steps for the other line.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+-+y+%3E+1 ALIGN=MIDDLE  ALT=\"x+-+y+%3E+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E+x+-+1 ALIGN=MIDDLE  ALT=\"y+%3E+x+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since this equation does NOT include an equality, draw the line that is sloping upward (the slope for this line = 1) using a dashed line.<BR>\n" );
document.write( "Next, since the inequality is > (greater than), shade the area ABOVE that line.\r<BR>\n" );
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document.write( "The answer is the area that is shaded by both. So, the area that is both BELOW the first line and also ABOVE the second line.\r<BR>\n" );
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document.write( "Remember to use dashed lines. \r<BR>\n" );
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document.write( "If you look at the plot as the letter X, the area you want is to the left of the X and NOT including the lines that make the X </SPAN>\n" );
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