document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=641808>Question 641808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve -4k+5<21 and graph </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403818 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=403818\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4k%2B5%3C21 ALIGN=MIDDLE  ALT=\"-4k%2B5%3C21\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4k%3C21-5 ALIGN=MIDDLE  ALT=\"-4k%3C21-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4k%3C16 ALIGN=MIDDLE  ALT=\"-4k%3C16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3E%2816%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"k%3E%2816%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k ALIGN=MIDDLE  ALT=\"k\"   DISABLED_style= \"max-width:90%; height:auto;\" >. note: Remember, the inequality sign flips when we divide both sides by a negative number. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3E-4 ALIGN=MIDDLE  ALT=\"k%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3E-4 ALIGN=MIDDLE  ALT=\"k%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Here's the graph of the solution set on the number line\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C80%2C-14%2C+6%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-14%2C+6%29%2C%0D%0A%0D%0Aarrow%28-4%2C0%2C6%2C0%29%2C%0D%0Aarrow%28-4%2C0.30%2C6%2C0.30%29%2C%0D%0Aarrow%28-4%2C0.15%2C6%2C0.15%29%2C%0D%0Aarrow%28-4%2C-0.15%2C6%2C-0.15%29%2C%0D%0Aarrow%28-4%2C-0.30%2C6%2C-0.30%29%2C%0D%0A%0D%0Acircle%28-4%2C0%2C0.3%29%2C%0D%0Acircle%28-4%2C0%2C0.3%29%2C%0D%0Acircle%28-4%2C0%2C0.3%29%2C%0D%0Acircle%28-4%2C0%2C0.3-0.02%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Note: there's an open circle at the endpoint.\r<BR>\n" );
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