document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=127079>Question 127079</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131808672/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that you take care of pets for vacationing neighbors each summer.  You charge $15 per day to feed and walk a dog and $5 per day to feed other pets.  You know that you can care for 10 pets per day and you want to earn at least $30 per day.  Write a system of linear inequalities that describes the situation for x dogs and y pets other than dogs.  Then graph the system to show all possible solutions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #93106 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=93106\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  x dogs and y pets other than dogs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15x+%2B+5y+%3E=+30 ALIGN=MIDDLE  ALT=\"15x+%2B+5y+%3E=+30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5y+%3E=+-15x+%2B+30 ALIGN=MIDDLE  ALT=\"5y+%3E=+-15x+%2B+30\"   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=+-3x+%2B+6 ALIGN=MIDDLE  ALT=\"y+%3E=+-3x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%2B+y+%3C=+10 ALIGN=MIDDLE  ALT=\"x+%2B+y+%3C=+10\"   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+10 ALIGN=MIDDLE  ALT=\"y+%3C=+-x+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-5%2C+20%2C+-5%2C+20%2C-3x+%2B+6%2C+-x+%2B+10+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-5%2C+20%2C+-5%2C+20%2C-3x+%2B+6%2C+-x+%2B+10+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solutions are between the two lines, including<BR>\n" );
document.write( "the lines also, but only in the positive x and y regions<BR>\n" );
document.write( "(one cannot care for negative number of pets)<BR>\n" );
document.write( "As a check, I can test some points that are in the <BR>\n" );
document.write( "solution zone and one outside<BR>\n" );
document.write( "Inside: (8,1), (1,7)<BR>\n" );
document.write( "Outside: (1,2)<BR>\n" );
document.write( "(8,1)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+%3E=+-3x+%2B+6 ALIGN=MIDDLE  ALT=\"y+%3E=+-3x+%2B+6\"   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+10 ALIGN=MIDDLE  ALT=\"y+%3C=+-x+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%3E=+-3%2A8+%2B+6 ALIGN=MIDDLE  ALT=\"1+%3E=+-3%2A8+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%3E=+-18 ALIGN=MIDDLE  ALT=\"1+%3E=+-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > Ok<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%3C=+-8+%2B+10 ALIGN=MIDDLE  ALT=\"1+%3C=+-8+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%3C=+2 ALIGN=MIDDLE  ALT=\"1+%3C=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "(1,7)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+%3E=+-3%2A1+%2B+6 ALIGN=MIDDLE  ALT=\"7+%3E=+-3%2A1+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+%3E=+3 ALIGN=MIDDLE  ALT=\"7+%3E=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+%3C=+-1+%2B+10 ALIGN=MIDDLE  ALT=\"7+%3C=+-1+%2B+10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+%3C=+9 ALIGN=MIDDLE  ALT=\"7+%3C=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" > OK<BR>\n" );
document.write( "=======================<BR>\n" );
document.write( "(1,2) should not work<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%3E=+-3%2A1+%2B+6 ALIGN=MIDDLE  ALT=\"2+%3E=+-3%2A1+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+%3E=+3 ALIGN=MIDDLE  ALT=\"2+%3E=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" > NOT OK<BR>\n" );
document.write( "So, this is outside and fails as it should </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );