document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70628>Question 70628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 5(2x+1)+4<8x+6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50418 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=50418\">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=5%282x%2B1%29%2B4%3C8x%2B6 ALIGN=MIDDLE  ALT=\"5%282x%2B1%29%2B4%3C8x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Operate on this just as you would on an equation.  For the first step, you can multiply<BR>\n" );
document.write( "out the left side to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+%2B+5+%2B+4+%3C+8x+%2B+6 ALIGN=MIDDLE  ALT=\"10x+%2B+5+%2B+4+%3C+8x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Combine the +5 and the +4 on the left side.  The inequality becomes:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+%2B+9+%3C+8x+%2B+6 ALIGN=MIDDLE  ALT=\"10x+%2B+9+%3C+8x+%2B+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Eliminate the +9 on the left side by adding -9 to both sides:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+%3C+8x+%2B6+-9 ALIGN=MIDDLE  ALT=\"10x+%3C+8x+%2B6+-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And add the +6 and -9 on the right side:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10x+%3C+8x+-+3 ALIGN=MIDDLE  ALT=\"10x+%3C+8x+-+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Get rid of the 8x on the right side by adding -8x to both sides. The inequality simplifies to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x+%3C+-3 ALIGN=MIDDLE  ALT=\"2x+%3C+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Dividing both sides by 2 results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+%28-3%2F2%29 ALIGN=MIDDLE  ALT=\"x+%3C+%28-3%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "This tells you that x can be anywhere on the number line below the value <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2F2 ALIGN=MIDDLE  ALT=\"-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "But x cannot equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F2%29 ALIGN=MIDDLE  ALT=\"%28-3%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >and it cannot be any value to the right of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-3%2F2%29 ALIGN=MIDDLE  ALT=\"%28-3%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "on the number line.<BR>\n" );
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document.write( "It doesn't happen in this problem, but remember this rule: if you multiply or divide an<BR>\n" );
document.write( "inequality by a negative number you must change the inequality sign to the opposite<BR>\n" );
document.write( "direction.  <BR>\n" );
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document.write( "Hope this helps you see how to work with inequalities.<BR>\n" );
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