document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=614317>Question 614317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! And thank you for helping me with this question! \r<BR>\n" );
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document.write( "Question:<BR>\n" );
document.write( "Find a solution to the inequality: x(7 -x)> 8\r<BR>\n" );
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document.write( "I tried distributing the x outside of the parenthesis to the 7 and -x in the parenthesis, but then I got stuck. Could you please help me solve this? Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386488 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=386488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find a solution to the inequality: x(7 -x)> 8 <BR>\n" );
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document.write( "7x - x^2 > 8<BR>\n" );
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document.write( "x^2-7x+8 < 0<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "(x-8)(x+1) < 0<BR>\n" );
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document.write( "Draw a number line:<BR>\n" );
document.write( "Plot the points x = -1 and x = 8<BR>\n" );
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document.write( "Test a value from each of the 3 intervals to see where<BR>\n" );
document.write( "the solutions are for the inequality.<BR>\n" );
document.write( "Let x = -10 ; you get -*- < 0 ; false <BR>\n" );
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document.write( "Let x = 0 ; you get -*+ < 0 ; true. So solutions in -1< x < 8<BR>\n" );
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document.write( "Let x = 10 ; you get +*+ < 0 ; false.<BR>\n" );
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document.write( "Solutions are in the interval (-1,8)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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