document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=230700>Question 230700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all x in R for which :<BR>\n" );
document.write( "1) absolute value of (x-1)<1/2<BR>\n" );
document.write( "2) absolute value of (x^2-1)<1/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170856 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=170856\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all x in R for which :<BR>\n" );
document.write( "1) absolute value of (x-1)<1/2<BR>\n" );
document.write( "-1/2 < x-1 < 1/2<BR>\n" );
document.write( "-------------------------<BR>\n" );
document.write( "Add 1 along the line to get:<BR>\n" );
document.write( "1/2 < x < 3/2<BR>\n" );
document.write( "--------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "2) absolute value of (x^2-1)<1/2<BR>\n" );
document.write( "-1/2 < x^2-1 < 1/2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Add 1 along the line to get:<BR>\n" );
document.write( "1/2 < x^2 < 3/2<BR>\n" );
document.write( "Take the square root along the line:<BR>\n" );
document.write( "[sqrt(2)/2 < x < sqrt(6)/2<BR>\n" );
document.write( "===============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );