document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=40338>Question 40338</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 48 &#8805; 4x(x-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26258 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay from<BR>\n" );
document.write( "48 &#8805; 4x(x-1)<BR>\n" );
document.write( "let's divide y four first and get<BR>\n" );
document.write( "12 &#8805; x(x-1)<BR>\n" );
document.write( "now expand and rearrange the terms...<BR>\n" );
document.write( "x^2 - x - 12 &#8804; 0<BR>\n" );
document.write( "now factor<BR>\n" );
document.write( "(x - 4)(x + 3) &#8804; 0<BR>\n" );
document.write( "now go to a number line and make solid points at x = 4 and at x = -3<BR>\n" );
document.write( "These are your critical points...<BR>\n" );
document.write( "Now test any point within each of the three regions we have effectively split the number line into to see if they make the inequality true...<BR>\n" );
document.write( "So let's try x = -4 ==> nope that's false<BR>\n" );
document.write( "Let's try x = 0 ==> ahh, that works<BR>\n" );
document.write( "Now try x = 5 ==> nope false again<BR>\n" );
document.write( "So your answer is in between -3 and 4 and we express it as<BR>\n" );
document.write( "-3 &#8804; x &#8804; 4<BR>\n" );
document.write( "This is my 1000th solved problem on algebra.com! </SPAN>\n" );
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