document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=709355>Question 709355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality, and express the solutions in terms of intervals whenever possible. (Enter your answer using interval notation. If there is no solution, enter NO SOLUTION.) \r<BR>\n" );
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document.write( "4 < |3x &#8722; 3| < 5<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #436547 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=436547\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two possiblilities to check.  One is if 3x-3>=0 and the other is for 3x-3<0.  Before going into more, factor the expression..\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x-3=3%28x-1%29 ALIGN=MIDDLE  ALT=\"3x-3=3%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Take care of that in the inequality statement.\r<BR>\n" );
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document.write( "4 < |3x &#8722; 3| < 5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%3C3abs%28x-1%29%3C5 ALIGN=MIDDLE  ALT=\"4%3C3abs%28x-1%29%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3+%3C+abs%28x-1%29+%3C+5%2F3 ALIGN=MIDDLE  ALT=\"4%2F3+%3C+abs%28x-1%29+%3C+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1%3E=0 ALIGN=MIDDLE  ALT=\"x-1%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > then:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3+%3C+x-1+%3C+5%2F3 ALIGN=MIDDLE  ALT=\"4%2F3+%3C+x-1+%3C+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3%2B1+%3C+x+%3C+5%2F3%2B1 ALIGN=MIDDLE  ALT=\"4%2F3%2B1+%3C+x+%3C+5%2F3%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3+%3C+x+%3C+8%2F3 ALIGN=MIDDLE  ALT=\"7%2F3+%3C+x+%3C+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If x-1<0 then :<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3+%3C+1-x+%3C+5%2F3 ALIGN=MIDDLE  ALT=\"4%2F3+%3C+1-x+%3C+5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F3-1+%3C+-x+%3C+5%2F3-1 ALIGN=MIDDLE  ALT=\"4%2F3-1+%3C+-x+%3C+5%2F3-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+%3C+-x+%3C+2%2F3 ALIGN=MIDDLE  ALT=\"1%2F3+%3C+-x+%3C+2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now multiply all members by NEGATIVE 1 and reverse the direction of the order symbols.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3+%3E+x+%3E+-2%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3+%3E+x+%3E+-2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "And to keep lesser to the left and greater to the right,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3+%3C+x+%3C+-1%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3+%3C+x+%3C+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "FINAL RESULT STATEMENT: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%2F3+%3C+x+%3C+-1%2F3 ALIGN=MIDDLE  ALT=\"-2%2F3+%3C+x+%3C+-1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > OR <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3+%3C+x+%3C+8%2F3 ALIGN=MIDDLE  ALT=\"7%2F3+%3C+x+%3C+8%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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