document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=473513>Question 473513</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the absolute value inequality. Write the answer in interval notation. The problem is: |5-2x over 6|< or equal to 3  - can you show me how to solve this. I thought you have to multiply the 6 by all the numbers, but I'm not getting the correct answer. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #324748 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=324748\">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=abs%28%285-2x%29%2F6%29+%3C=+3 ALIGN=MIDDLE  ALT=\"abs%28%285-2x%29%2F6%29+%3C=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since we are dealing with an absolute value you have to deal with the negative case as well.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285-2x%29%2F6 ALIGN=MIDDLE  ALT=\"%285-2x%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be any number from -3 to 3 because the absolute value turn all the negative values positive<BR>\n" );
document.write( "Rewrite inequality without absolute value signs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+%3C=+%285-2x%29%2F6+%3C=+3 ALIGN=MIDDLE  ALT=\"-3+%3C=+%285-2x%29%2F6+%3C=+3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you multiply equation by 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18+%3C=+5-2x+%3C=+18 ALIGN=MIDDLE  ALT=\"-18+%3C=+5-2x+%3C=+18\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract 5 from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-23+%3C=+-2x+%3C=+13 ALIGN=MIDDLE  ALT=\"-23+%3C=+-2x+%3C=+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Divide by -2 on both sides<BR>\n" );
document.write( "**Important: when dividing by a negative flip the inequality**<BR>\n" );
document.write( "EX: -x < 3 = x > -3 , If you change the sign then flip the inequality.<BR>\n" );
document.write( "After dividing and flipping the inequality<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=23%2F2+%3E=+x+%3E=+-13%2F2 ALIGN=MIDDLE  ALT=\"23%2F2+%3E=+x+%3E=+-13%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Interval notation, use brackets for \">=\" parenthesis for \">\"<BR>\n" );
document.write( "x is any real number in [-6.5, 11.5]\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );