document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52872>Question 52872</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with solving inequalities.  Can you please help?\r<BR>\n" );
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document.write( "Solve the inequality:  x^2-8x&#8804;4x-36\r<BR>\n" );
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document.write( "If you could help I will greatly apprecaite it.\r<BR>\n" );
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document.write( "Thanks in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35263 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=35263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Set the problem <=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%3C=4x-36 ALIGN=MIDDLE  ALT=\"x%5E2-8x%3C=4x-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x-4x%2B36%3C=4x-4x-36%2B36 ALIGN=MIDDLE  ALT=\"x%5E2-8x-4x%2B36%3C=4x-4x-36%2B36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-12x%2B36%3C=0 ALIGN=MIDDLE  ALT=\"x%5E2-12x%2B36%3C=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Solve as if it's an equality, factor and solve for x:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-6%29%28x-6%29=0 ALIGN=MIDDLE  ALT=\"%28x-6%29%28x-6%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x-6+6=0+6<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "Since this is an inequality, we have to check values bigger and smaller than 6 to see what kind of inequality sign that we need.<BR>\n" );
document.write( "When x=0,<BR>\n" );
document.write( "(0-6)(0-6)=36, which is not less than 0.<BR>\n" );
document.write( "When x=7<BR>\n" );
document.write( "(7-6)(7-6)=1*1=1, which is also not less than 0.<BR>\n" );
document.write( "Therefore, the only value for which <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-8x%3C=4x-36 ALIGN=MIDDLE  ALT=\"x%5E2-8x%3C=4x-36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " is x=6<BR>\n" );
document.write( "Interval notation:[6]<BR>\n" );
document.write( "Set notation:{6}<BR>\n" );
document.write( "Set Builder Notation:{x|x=6} </SPAN>\n" );
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