document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=114734>Question 114734</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Graph the inequality.<BR>\n" );
document.write( "	y is equal to or greater then 1<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 #83490 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=83490\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "Think about how you've done <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=inequalities ALIGN=MIDDLE  ALT=\"inequalities\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the number line. <BR>\n" );
document.write( "For instance, they'd ask you to graph something like <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+2 ALIGN=MIDDLE  ALT=\"x+%3E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C2+ ALIGN=MIDDLE  ALT=\"y%3C2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Recall that: <BR>\n" );
document.write( "greater than\" meant \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=everything_+off+_to_+the_+right ALIGN=MIDDLE  ALT=\"everything_+off+_to_+the_+right\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" on the number line\r<BR>\n" );
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document.write( "less than\" meant \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=everything+_off_+to_+the+_left ALIGN=MIDDLE  ALT=\"everything+_off_+to_+the+_left\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" the number line \r<BR>\n" );
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document.write( "now do your inequality: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=1 ALIGN=MIDDLE  ALT=\"y%3E=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the first step is to find the \" <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=equals ALIGN=MIDDLE  ALT=\"equals\"   DISABLED_style= \"max-width:90%; height:auto;\" > \" part, or<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1 ALIGN=MIDDLE  ALT=\"y=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "then graph it:\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=Plot_a_graph_of_functions.solver>PLOT a graph of a function</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Plotting a graph:<BR><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28+600%2C+400%2C+-10%2C+10%2C+-6%2C+5%2C+1+%29 ALIGN=MIDDLE  ALT=\"graph%28+600%2C+400%2C+-10%2C+10%2C+-6%2C+5%2C+1+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  This solver uses <A  rel=nofollow HREF=/services/rendering/>formula rendering system</A> and here's the actual formula that was plotted:<BR>\n" );
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document.write( "  graph( 600, 400, -10, 10, -6, 5, 1 )<BR>\n" );
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document.write( "	You have already graphed the \" <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=or_equal_to ALIGN=MIDDLE  ALT=\"or_equal_to\"   DISABLED_style= \"max-width:90%; height:auto;\" >  \" part (it is just the horizontal line);\r<BR>\n" );
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document.write( "now you are ready to do the \" <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y_greater_than ALIGN=MIDDLE  ALT=\"y_greater_than\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" part; it means, this is where you need to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=shade_one_side ALIGN=MIDDLE  ALT=\"shade_one_side\"   DISABLED_style= \"max-width:90%; height:auto;\" >  of the line <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=or_the_other ALIGN=MIDDLE  ALT=\"or_the_other\"   DISABLED_style= \"max-width:90%; height:auto;\" >   . \r<BR>\n" );
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document.write( "All you need to be sure is: do you need  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=LESS+_THAN ALIGN=MIDDLE  ALT=\"LESS+_THAN\"   DISABLED_style= \"max-width:90%; height:auto;\" > the line, do you need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABOVE ALIGN=MIDDLE  ALT=\"ABOVE\"   DISABLED_style= \"max-width:90%; height:auto;\" > the line, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BELOW ALIGN=MIDDLE  ALT=\"BELOW\"   DISABLED_style= \"max-width:90%; height:auto;\" > the line? \r<BR>\n" );
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document.write( "Since you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3E=1 ALIGN=MIDDLE  ALT=\"y%3E=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you want <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABOWE ALIGN=MIDDLE  ALT=\"ABOWE\"   DISABLED_style= \"max-width:90%; height:auto;\" > the line. So shade it in: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=the+_LINE+_and+_ABOWE_+the_+line ALIGN=MIDDLE  ALT=\"the+_LINE+_and+_ABOWE_+the_+line\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "the side you shaded is the \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=solution_+region ALIGN=MIDDLE  ALT=\"solution_+region\"   DISABLED_style= \"max-width:90%; height:auto;\" >\"<BR>\n" );
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