document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1007464>Question 1007464</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose x and y are positive real numbers. Use indirect proof to show that if x2 > y3 - 1 then<BR>\n" );
document.write( "x > y or y < 2. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #623389 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=623389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> consider the following two case<BR>\n" );
document.write( "1) assume y > x, namely y = 4 and x = 3, then<BR>\n" );
document.write( "3^2 > 4^3 - 1<BR>\n" );
document.write( "9 > 63<BR>\n" );
document.write( "this is false<BR>\n" );
document.write( "2) assume y > 2, namely 3<BR>\n" );
document.write( "3^2 > 3^3 - 1<BR>\n" );
document.write( "9 > 26<BR>\n" );
document.write( "this is false, therefore<BR>\n" );
document.write( "if x^2 > y^3 -1 then x > y or y < 2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );