document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70627>Question 70627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve the following inequalities and show on a real number line.<BR>\n" );
document.write( "5x-2>2(1+3x)-x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50437 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=50437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5x-2 > 2(1+3x)-x<BR>\n" );
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document.write( "This is a \"Trick\" Problem<BR>\n" );
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document.write( "You can begin by treating this just like an equation as far as the math is concerned.<BR>\n" );
document.write( "First do the multiplication on the right side. Multiply 2 times (1+3x). When you do that the<BR>\n" );
document.write( "problem becomes:<BR>\n" );
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document.write( "5x - 2 > 2 + 6x - x<BR>\n" );
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document.write( "Next combine the 6x and -x on the right side.  The inequality becomes:<BR>\n" );
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document.write( "5x - 2 > 2 + 5x<BR>\n" );
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document.write( "To get rid of the -2 on the left side, add +2 to both sides.  The inequality is then<BR>\n" );
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document.write( "5x > 4 + 5x<BR>\n" );
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document.write( "You may see the problem at this point.  How can you add +4 to something (on the right side)<BR>\n" );
document.write( "and have it be less than the something without the 4 (left side)?  But let's continue.<BR>\n" );
document.write( "To eliminate the 5x on the right side, add -5x to both sides.  The inequality then becomes:<BR>\n" );
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document.write( "0 > 4<BR>\n" );
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document.write( "That sure isn't true. This tells you that there is NO value of x that will make the original<BR>\n" );
document.write( "inequality true.  The original inequality has been reduced to something that can never be<BR>\n" );
document.write( "true.  Don't mark any regions on the number line.<BR>\n" );
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document.write( "Somebody was trying to sneak this problem by you.  It probably made you think about<BR>\n" );
document.write( "inequalities, though, and that may have been the purpose of the exercise ... just to<BR>\n" );
document.write( "get you to think. </SPAN>\n" );
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