document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086732>Question 1086732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe a situation that could be modeled with an inequality. Write the appropriate inequality, using an appropriate variable. Describe what the graph of this inequality would look like. pls help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700944 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700944\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> An inequality describes a situation where you have or you can have, or you need<BR>\n" );
document.write( "at least as much as ...,<BR>\n" );
document.write( "more than ...,<BR>\n" );
document.write( "no more than ...,<BR>\n" );
document.write( "less than...<BR>\n" );
document.write( "some number.<BR>\n" );
document.write( " <BR>\n" );
document.write( "ONE EXAMPLE:<BR>\n" );
document.write( "If you can hold your breath underwater for no more than 40 seconds,<BR>\n" );
document.write( "the situation can be modeled by the inequality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%3C=40 ALIGN=MIDDLE  ALT=\"s%3C=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the number of seconds you can hold your breath underwater.<BR>\n" );
document.write( "The graph for that inequality would be a number line with the part representing the solution marked somehow.<BR>\n" );
document.write( "Some teachers would tell you to color the solution on the line, like this<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C100%2C-1%2C4%2C-0.5%2C0.5%2C%0D%0Aarrow%281%2C0%2C-1%2C0%29%2Carrow%282%2C0%2C4%2C0%29%2C%0D%0Aline%280%2C0.1%2C0%2C-0.1%29%2Cline%281%2C0.1%2C1%2C-0.1%29%2C%0D%0Aline%282%2C0.1%2C2%2C-0.1%29%2Cline%283%2C0.1%2C3%2C-0.1%29%2C%0D%0Aline%280.5%2C0.1%2C0.5%2C-0.1%29%2Cline%28-0.5%2C0.1%2C-0.5%2C-0.1%29%2C%0D%0Aline%281.5%2C0.1%2C1.5%2C-0.1%29%2Cline%282.5%2C0.1%2C02.5%2C-0.1%29%2C%0D%0Aline%283.5%2C0.1%2C3.5%2C-0.1%29%2Clocate%28-0.6%2C-0.1%2C-10%29%2C%0D%0Alocate%28-0.05%2C-0.1%2C0%29%2Clocate%280.4%2C-0.1%2C10%29%2C%0D%0Alocate%280.9%2C-0.1%2C20%29%2Clocate%281.4%2C-0.1%2C30%29%2C%0D%0Alocate%281.9%2C-0.1%2C40%29%2Clocate%282.4%2C-0.1%2C50%29%2C%0D%0Alocate%282.9%2C-0.1%2C50%29%2Clocate%283.4%2C-0.1%2C70%29%2C%0D%0Ared%28line%28-1%2C0%2C2%2C0%29%29%2Cred%28arrow%281%2C0%2C-1%2C0%29%29%2C%0D%0Ared%28circle%282%2C0%2C0.05%29%29%2Cred%28circle%282%2C0%2C0.03%29%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "meaning that 40 (under the red circle), and all the numbers to the left are solutions of the inequality.<BR>\n" );
document.write( " <BR>\n" );
document.write( "ANOTHER EXAMPLE:<BR>\n" );
document.write( "If Mary is older than her brother, that situation is described by the inequality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3Ey ALIGN=MIDDLE  ALT=\"x%3Ey\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Mary's age,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= Mary\"s brother's age.<BR>\n" );
document.write( "This inequality involves two variables,<BR>\n" );
document.write( "so it requires a 2-dimensional graph, like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-1%2C9%2C-1%2C9%2C%0D%0Agraph%28300%2C300%2C-1%2C9%2C-1%2C9%2Cx%3Ey%2B0.12%29%2C%0D%0Agrid%280%29%2Cred%28line%280%2C0%2C0.5%2C0.5%29%29%2C%0D%0Ared%28line%28-1%2C-1%2C-0.5%2C-0.5%29%29%2C%0D%0Ared%28line%281%2C1%2C1.5%2C1.5%29%29%2C%0D%0Ared%28line%282%2C2%2C2.5%2C2.5%29%29%2C%0D%0Ared%28line%283%2C3%2C3.5%2C3.5%29%29%2C%0D%0Ared%28line%284%2C4%2C4.5%2C4.5%29%29%2C%0D%0Ared%28line%285%2C5%2C5.5%2C5.5%29%29%2C%0D%0Ared%28line%286%2C6%2C6.5%2C6.5%29%29%2C%0D%0Ared%28line%287%2C7%2C7.5%2C7.5%29%29%2C%0D%0Ared%28line%288%2C8%2C8.5%2C8.5%29%29+%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "In this case the dashed red line means that the points on it,<BR>\n" );
document.write( "like (3,3), where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3 ALIGN=MIDDLE  ALT=\"x=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=3 ALIGN=MIDDLE  ALT=\"y=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > are not part of the solution,<BR>\n" );
document.write( "but all the point to one side of the line are part of the solution.<BR>\n" );
document.write( "It could be that Mary and her brother are three-year old twins,<BR>\n" );
document.write( "but Mary is a few seconds older than her brother.<BR>\n" );
document.write( " <BR>\n" );
document.write( "More examples:<BR>\n" );
document.write( "If you need to buy 4 cans of peas, and only have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%243 ALIGN=MIDDLE  ALT=\"%243\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "calling <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= price in $ for one can of peas,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x ALIGN=MIDDLE  ALT=\"4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > would be the cost of 4 cans of peas,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%3C=3 ALIGN=MIDDLE  ALT=\"4x%3C=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > describes your situation.<BR>\n" );
document.write( "If you need to be at least 40 inches tall to ride a roller coaster,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h%3E=40 ALIGN=MIDDLE  ALT=\"h%3E=40\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >= your height in inches, describes that situation. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );