document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5912>Question 5912</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP...i got 2 different answers from two tutors...solve this quadratic inequality. \r<BR>\n" );
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document.write( "25x^+16<40x...My answer was x<4/5\r<BR>\n" );
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document.write( "one tutor agreed and one said there was no solution as you can not take the sqrt of zero...anybody out there that can knows for sure??\r<BR>\n" );
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document.write( "Thanks Caroline </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3122 by </B><A HREF=/tutors/aboutme.mpl?userid=Abbey><B>Abbey(339)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Abbey><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=3122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I answered you incorrectly.  I read this as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2%2B16=40x ALIGN=MIDDLE  ALT=\"25x%5E2%2B16=40x\"   DISABLED_style= \"max-width:90%; height:auto;\" > rather than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25x%5E2%2B16%3C40x ALIGN=MIDDLE  ALT=\"25x%5E2%2B16%3C40x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "To solve this problem:\r<BR>\n" );
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document.write( "25x^2+16<40x<BR>\n" );
document.write( "set this as an equal sign:<BR>\n" );
document.write( "25x^2+16=40x<BR>\n" );
document.write( "subtract 40x from both sides:<BR>\n" );
document.write( "25x^2-40x+16=0<BR>\n" );
document.write( "(5x-4)(5x-4)=0<BR>\n" );
document.write( "x=4/5  You have two choices:  your solution set can be from negative infinity to 4/5 or from 4/5 to infinity:\r<BR>\n" );
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document.write( "Test using the numbers 3/5 (if the solution set is less than 4/5 then this number will be included)  Make a second test with the number 1 (if the solution set is from 4/5 to infinity, then the number 1 will be included in the set):\r<BR>\n" );
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document.write( "If we put 1 back into the equation:<BR>\n" );
document.write( "25(1)^2+16<40(1)<BR>\n" );
document.write( "25(1)+16<40<BR>\n" );
document.write( "41<40  THIS IS NOT A TRUE STATEMENT, SO THE SOLUTION SET IS NOT GREATER THAN 4/5.\r<BR>\n" );
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document.write( "25(3/5)^2+16<40(3/5)<BR>\n" );
document.write( "25(9/25)+16<24<BR>\n" );
document.write( "9+16<24<BR>\n" );
document.write( "25<24.  This is not a true statement so the solution set cannot be less than 4/5 either\r<BR>\n" );
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document.write( "so there is not a solution to this problem. </SPAN>\n" );
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