document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033788>Question 1033788</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the inequality and express the solution using interval notation\r<BR>\n" );
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document.write( "|2x-5|>9<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 #648452 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648452\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To do absolute value inequalities, we break up the problem into two branches...we remove the absolute value to get<BR>\n" );
document.write( "2x-5 > 9  and   2x-5 < -9  (notice we switch both on the one on the right)<BR>\n" );
document.write( "and solve these independently...we get<BR>\n" );
document.write( "2x > 14   and   2x < -4<BR>\n" );
document.write( "x > 7   and   x < -2<BR>\n" );
document.write( "In interval notation we have<BR>\n" );
document.write( "(-inf, -2) U (7, inf) </SPAN>\n" );
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