document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=176084>Question 176084</A>: <I><SPAN STYLE=\"word-break: break-all;\"> absolute value(1x+10)greater than or equal to 20\r<BR>\n" );
document.write( "\n" );
document.write( "please help me solve this inequality<BR>\n" );
document.write( "thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131246 by </B><A HREF=/tutors/aboutme.mpl?userid=EMStelley><B>EMStelley(208)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=EMStelley><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=EMStelley><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131246\">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%28x%2B10%29%3E=20 ALIGN=MIDDLE  ALT=\"abs%28x%2B10%29%3E=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Absolute value inequalities always have two parts:<BR>\n" );
document.write( "1) the original problem with the absolute value signs dropped, and<BR>\n" );
document.write( "2) flip the inequality and change the sign of the right hand side<BR>\n" );
document.write( "So in this case, we need to solve<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B10%3E=20 ALIGN=MIDDLE  ALT=\"x%2B10%3E=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B10%3C=-20 ALIGN=MIDDLE  ALT=\"x%2B10%3C=-20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For the first one, all that is needed is to subtract 10 from both sides,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=10 ALIGN=MIDDLE  ALT=\"x%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Same for the second one,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=-30 ALIGN=MIDDLE  ALT=\"x%3C=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I'm not sure what your solution is supposed to look like (written out as above, or drawn on a number line, or written in interval notation).  I will also write it in interval notation in case that is what you are supposed to use, but if you need to graph it on a number line, I will leave that up to you.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=10 ALIGN=MIDDLE  ALT=\"x%3E=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=-30 ALIGN=MIDDLE  ALT=\"x%3C=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to<BR>\n" );
document.write( "(-infinity, -30) union (10, infinity) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );