document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=44273>Question 44273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The problem ask to \"Find the solution and write each solution set in interval notation, and graph it\".\r<BR>\n" );
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document.write( "6x-(2x+3)>4x-5\r<BR>\n" );
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document.write( "acrown1@umbc.edu </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #29179 by </B><A HREF=/tutors/aboutme.mpl?userid=adamchapman><B>adamchapman(301)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=adamchapman><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=29179\">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=6x-%282x%2B3%29%3E4x-5 ALIGN=MIDDLE  ALT=\"6x-%282x%2B3%29%3E4x-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Rearrange so you have zero on one side of the \">\" sign:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6x-%282x%2B3%29-4x%2B5%3E0 ALIGN=MIDDLE  ALT=\"6x-%282x%2B3%29-4x%2B5%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-%282x%2B3%29%2B5%3E0 ALIGN=MIDDLE  ALT=\"4x-%282x%2B3%29%2B5%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x-2x%2B5-3%3E0 ALIGN=MIDDLE  ALT=\"4x-2x%2B5-3%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B2%3E0 ALIGN=MIDDLE  ALT=\"2x%2B2%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1%3E0 ALIGN=MIDDLE  ALT=\"x%2B1%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now if we plot the line \"y=x+1\" we know that at any point where y>0, the inequality is satisfied (i.e. when the line is above the x-axis). <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+x%2B1%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+x%2B1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "If you rearrange <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1%3E0 ALIGN=MIDDLE  ALT=\"x%2B1%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > you can obtain <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E-1 ALIGN=MIDDLE  ALT=\"x%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "i.e. the inequality is satisfied when x is more than 1.\r<BR>\n" );
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document.write( "I hope this helps.<BR>\n" );
document.write( "P.S. I am trying to start up my own homework help website. I would be extremely grateful if you would e-mail me some feedback on the help you received to adam.chapman@student.manchester.ac.uk\r<BR>\n" );
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