document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1142381>Question 1142381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The solutions of (2x − 5) / (3 − x) ≥ 0 are the values of x for which the graph of y = 2x^2 − 11x + 15\r<BR>\n" );
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document.write( "1. lies above the x  -  axis<BR>\n" );
document.write( "2. lies on or above the x  -  axis, excluding x = 3<BR>\n" );
document.write( "3. lies below the x  -  axis<BR>\n" );
document.write( "4. lies on or below the x  -  axis, excluding x = 3<BR>\n" );
document.write( "5. lies on or below the x  -  axis, excluding x = 3 and x = 5/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #763109 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=763109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The critical points of the rational function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x-5%29%2F%283-x%29 ALIGN=MIDDLE  ALT=\"%282x-5%29%2F%283-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the x values that make the numerator or denominator 0.  Those values are x=5/2 and x=3.  Note that x=5/2 is valid because 0 in the numerator is okay; x=3 is not valid because 0 in the denominator is not valid.<br><BR>\n" );
document.write( "The zeroes of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+2x%5E2-11x%2B15+=+%282x-5%29%28x-3%29 ALIGN=MIDDLE  ALT=\"y+=+2x%5E2-11x%2B15+=+%282x-5%29%28x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > are also x=5/2 and x=3.<br><BR>\n" );
document.write( "The critical values of both functions divide the number line into 3 intervals: (-infinity,2.5), (2.5,3), and (3,infinity).<br><BR>\n" );
document.write( "(1) Determine on which interval(s) the rational function is greater than or equal to 0, paying attention to whether the endpoints of each interval are included.<br><BR>\n" );
document.write( "(2) For those intervals, determine whether the graph of 2x^2-11x+15 is above or below the x-axis.<br><BR>\n" );
document.write( "(3) Select the correct answer choice. </SPAN>\n" );
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