document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177246>Question 177246</A>: <I><SPAN STYLE=\"word-break: break-all;\"> |6-4x|>2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132323 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=132323\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%286-4x%29%3E2 ALIGN=MIDDLE  ALT=\"abs%286-4x%29%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Break up the absolute value (remember, if you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29%3E+a ALIGN=MIDDLE  ALT=\"abs%28x%29%3E+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+-a ALIGN=MIDDLE  ALT=\"x+%3C+-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+a ALIGN=MIDDLE  ALT=\"x+%3E+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-4x+%3C+-2 ALIGN=MIDDLE  ALT=\"6-4x+%3C+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-4x+%3E+2 ALIGN=MIDDLE  ALT=\"6-4x+%3E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the absolute value inequality using the given rule\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now lets focus on the first inequality  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-4x+%3C+-2 ALIGN=MIDDLE  ALT=\"6-4x+%3C+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-4x%3C-2 ALIGN=MIDDLE  ALT=\"6-4x%3C-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%3C-2-6 ALIGN=MIDDLE  ALT=\"-4x%3C-2-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 6 from both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%3C-8 ALIGN=MIDDLE  ALT=\"-4x%3C-8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E%28-8%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"x%3E%28-8%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -4 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E2 ALIGN=MIDDLE  ALT=\"x%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now lets focus on the second inequality  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-4x+%3E+2 ALIGN=MIDDLE  ALT=\"6-4x+%3E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6-4x%3E2 ALIGN=MIDDLE  ALT=\"6-4x%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%3E2-6 ALIGN=MIDDLE  ALT=\"-4x%3E2-6\"   DISABLED_style= \"max-width:90%; height:auto;\" >Subtract 6 from both sides\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%3E-4 ALIGN=MIDDLE  ALT=\"-4x%3E-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%28-4%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"x%3C%28-4%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by -4 to isolate x  (note: Remember, dividing both sides by a negative number flips the inequality sign) \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1 ALIGN=MIDDLE  ALT=\"x%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "----------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So our answer is\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+1 ALIGN=MIDDLE  ALT=\"x+%3C+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+2 ALIGN=MIDDLE  ALT=\"x+%3E+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "which looks like this in interval notation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(-\infty,1\right)\cup\left(2,\infty\right)\">\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if you wanted to graph the solution set on a number line, you would get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28+500%2C+-8.5%2C+11.5%29%2C%0D%0A%0D%0Ablue%28arrow%28-1%2C-7%2C-10%2C-7%29%29%2C%0D%0Ablue%28arrow%28-1%2C-6.5%2C-10%2C-6.5%29%29%2C%0D%0Ablue%28arrow%28-1%2C-6%2C-10%2C-6%29%29%2C%0D%0Ablue%28arrow%28-1%2C-5.5%2C-10%2C-5.5%29%29%2C%0D%0Ablue%28arrow%28-1%2C-5%2C-10%2C-5%29%29%2C%0D%0Ablue%28arrow%281%2C-7%2C10%2C-7%29%29%2C%0D%0Ablue%28arrow%281%2C-6.5%2C10%2C-6.5%29%29%2C%0D%0Ablue%28arrow%281%2C-6%2C10%2C-6%29%29%2C%0D%0Ablue%28arrow%281%2C-5.5%2C10%2C-5.5%29%29%2C%0D%0Ablue%28arrow%281%2C-5%2C10%2C-5%29%29%2C%0D%0A%0D%0Acircle%28-0.5%2C-5.8%2C0.35%29%2C%0D%0Acircle%28-0.5%2C-5.8%2C0.4%29%2C%0D%0Acircle%28-0.5%2C-5.8%2C0.45%29%2C%0D%0A%0D%0A%0D%0Acircle%280.5%2C-5.8%2C0.35%29%2C%0D%0Acircle%280.5%2C-5.8%2C0.4%29%2C%0D%0Acircle%280.5%2C-5.8%2C0.45%29%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set in blue and the excluded values represented by open circles </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );