document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675746>Question 675746</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have problems trying to understand rational inequalities. How does the equation 4x<16/(x+3) become 0<-4(x+4)(x-1)/(x+3)? what steps were taken, in other words, to get the equation -4(x+4)(x-1) after moving 4x to the other side to get 0 on one side?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #420034 by </B><A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><B>ReadingBoosters(3246)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ReadingBoosters><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=420034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%3C+16%2F%28x%2B3%29 ALIGN=MIDDLE  ALT=\"4x+%3C+16%2F%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...<BR>\n" );
document.write( "Multiply both sides by (x+3)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%28x%2B3%29+%3C+%2816%2Fcross%28%28x%2B3%29%29%29%28cross%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"4x%28x%2B3%29+%3C+%2816%2Fcross%28%28x%2B3%29%29%29%28cross%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4x(x+3) < 16<BR>\n" );
document.write( "4x(x+3) - 16 < 0<BR>\n" );
document.write( "...<BR>\n" );
document.write( "Distribute the 4x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2+%2B+12x+-+16+%3C+0 ALIGN=MIDDLE  ALT=\"4x%5E2+%2B+12x+-+16+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%5E2+%2B+3x+-+4%29+%3C+0 ALIGN=MIDDLE  ALT=\"4%28x%5E2+%2B+3x+-+4%29+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4(x-1)(x+4) < 0<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2%2B12x-16%3C0 ALIGN=MIDDLE  ALT=\"4x%5E2%2B12x-16%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C-4x%5E2+-+12x+%2B+16 ALIGN=MIDDLE  ALT=\"0%3C-4x%5E2+-+12x+%2B+16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C-4%28x%5E2%2B3x-4%29 ALIGN=MIDDLE  ALT=\"0%3C-4%28x%5E2%2B3x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C-4%28x%2B4%29%28x-1%29 ALIGN=MIDDLE  ALT=\"0%3C-4%28x%2B4%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "...\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );