document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=238164>Question 238164</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i need help with understanding how to solve inequalities and graph its solutions example -3>-3+k i dont want just the answer i want to know how you came up with the answer </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175046 by </B><A HREF=/tutors/aboutme.mpl?userid=College+Student><B>College Student(505)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=College+Student><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=College+Student><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175046\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When we have an inequality or equality, we need to isolate the variable in order to find its value.  <BR>\n" );
document.write( ".<BR>\n" );
document.write( "When we add or sustract from both sides of the inequality, the inequality symbol remains the same.<BR>\n" );
document.write( "However, when we multiply or divide a NEGATIVE value on both sides, the inequality symbol changes direction.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "It also changes direction if we decide to swap one side for the other.<BR>\n" );
document.write( "Here are a few examples:<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Sum operation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%3E-2%2Bk ALIGN=MIDDLE  ALT=\"20%3E-2%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B2%3Ek ALIGN=MIDDLE  ALT=\"20%2B2%3Ek\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22%3Ek ALIGN=MIDDLE  ALT=\"22%3Ek\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "If you decide to swap sides, then you'd say: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3C22 ALIGN=MIDDLE  ALT=\"k%3C22\"   DISABLED_style= \"max-width:90%; height:auto;\" > to maintain the same result.<BR>\n" );
document.write( "================<BR>\n" );
document.write( "Negative Multiplication operation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%3E-%28p%2F4%29 ALIGN=MIDDLE  ALT=\"30%3E-%28p%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A%28-4%29%3Cp ALIGN=MIDDLE  ALT=\"30%2A%28-4%29%3Cp\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-120%3Cp ALIGN=MIDDLE  ALT=\"-120%3Cp\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...same as to say... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%3E-120 ALIGN=MIDDLE  ALT=\"p%3E-120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Positive Multiplication operation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%3Ep%2F4 ALIGN=MIDDLE  ALT=\"30%3Ep%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%2A4%3Ep ALIGN=MIDDLE  ALT=\"30%2A4%3Ep\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=120%3Ep ALIGN=MIDDLE  ALT=\"120%3Ep\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...same as to say... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%3C120 ALIGN=MIDDLE  ALT=\"p%3C120\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "Now, let's work on your problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%3E-3%2Bk ALIGN=MIDDLE  ALT=\"-3%3E-3%2Bk\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...add 3 on both sides to leave k alone, you get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2B3%3Ek ALIGN=MIDDLE  ALT=\"-3%2B3%3Ek\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3Ek ALIGN=MIDDLE  ALT=\"0%3Ek\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...same as to say... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=k%3C0 ALIGN=MIDDLE  ALT=\"k%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Done!  Keep posting problems if you need more help. :) </SPAN>\n" );
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