document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=30152>Question 30152</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "x^2+5x>24\r<BR>\n" );
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document.write( "Possible Answers:<BR>\n" );
document.write( "a. none of these<BR>\n" );
document.write( "b. -3<x<8<BR>\n" );
document.write( "c. x<-3 or x>8<BR>\n" );
document.write( "d. X<-8 or x>3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16881 by </B><A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><B>sdmmadam@yahoo.com(530)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sdmmadam@yahoo.com><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=16881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+5x>24<BR>\n" );
document.write( "That is x^2+5x-24 > 0<BR>\n" );
document.write( "(x+8)(x-3) > 0<BR>\n" );
document.write( "Since either positive multiplied by positive is positive OR<BR>\n" );
document.write( "negative multiplied by negative is positive, there are two cases.<BR>\n" );
document.write( "Case 1: Let (x+8) > 0 together with (x-3) > 0<BR>\n" );
document.write( "This implies x > -8 together with x > 3<BR>\n" );
document.write( "And since anything to the right of 3 is definitely to the right of (-8), <BR>\n" );
document.write( "the verdict for this case is <BR>\n" );
document.write( "x > 3 <BR>\n" );
document.write( "Case 2: Let (x+8) < 0 together with (x-3) < 0<BR>\n" );
document.write( "This implies x < -8 together with x < 3<BR>\n" );
document.write( "And since anything to the left of (-8) is definitely to the left of 3, <BR>\n" );
document.write( "the verdict for this case is <BR>\n" );
document.write( "x < -8<BR>\n" );
document.write( "Therefore combining the results of both the cases we have <BR>\n" );
document.write( "Answer:  x< -8 and x > 3<BR>\n" );
document.write( "Which is your choice (d) <BR>\n" );
document.write( "Note: (factoring the quadratic expression: x^2+5x-24,<BR>\n" );
document.write( "product =(-24) and sum is 5 and therefore the quantities are (+8) and (-5)<BR>\n" );
document.write( "and therefore x^2+5x-24<BR>\n" );
document.write( "= x^2+(8x-3x)-24<BR>\n" );
document.write( "= (x^2+8x)-3x-24<BR>\n" );
document.write( "=x(x+8)-3(x+8)<BR>\n" );
document.write( "=xp-3p  where p = (x+8)<BR>\n" );
document.write( "=p(x-3)<BR>\n" );
document.write( "=(x+8)(x-3)\r<BR>\n" );
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document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );