document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137645>Question 1137645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A student writes the five expression shown below\r<BR>\n" );
document.write( "\n" );
document.write( "pq, qr, 7pr, r^2, p^2\r<BR>\n" );
document.write( "\n" );
document.write( "The variables p,q, and r are rational numbers with the following properties: p>0<BR>\n" );
document.write( "q<0<BR>\n" );
document.write( "r<0<BR>\n" );
document.write( "which pair have a negative value<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 #755516 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=755516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Since p, q, and r are all non-zero, r^2 and p^2 are positive.  Since you are looking for the expressions that have negative values, those can't be them.<br><BR>\n" );
document.write( "The factor \"7\" is irrelevant in determining whether the expression is positive or negative; so essentially the three remaining answer choices are pq, qr, and pr.<br><BR>\n" );
document.write( "The product of two non-zero numbers is negative if and only if one of the numbers is positive and the other is negative.<br><BR>\n" );
document.write( "Which two pairs satisfy that condition? </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );