document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756694>Question 756694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the polynomial inequality and graph the solution set on a real number line. <BR>\n" );
document.write( "(x-2)/(x+7) is less than or equal to 0. Select the correct choice below and if necessary, fill in the answer box to complete your choice.<BR>\n" );
document.write( "A. The solution set is ____. (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)<BR>\n" );
document.write( "B. The solution set is 0.<BR>\n" );
document.write( "Graph the solution set on a real number line<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460419 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=460419\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Only the numerator is of interest as for order to 0.  Critical point for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-2%29%2F%28x%2B7%29%3C=0 ALIGN=MIDDLE  ALT=\"%28x-2%29%2F%28x%2B7%29%3C=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > is at x=2.  The expression is negative for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C2 ALIGN=MIDDLE  ALT=\"x%3C2\"   DISABLED_style= \"max-width:90%; height:auto;\" > making the statement true.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-7 ALIGN=MIDDLE  ALT=\"x%3C%3E-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > because the statement becomes meaningless from division by zero.\r<BR>\n" );
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document.write( "Put these facts together and solution set is:<BR>\n" );
document.write( "{x | <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C-7 ALIGN=MIDDLE  ALT=\"x%3C-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3E=x%3E-7 ALIGN=MIDDLE  ALT=\"2%3E=x%3E-7\"   DISABLED_style= \"max-width:90%; height:auto;\" > } </SPAN>\n" );
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