document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207256>Question 1207256</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the range of values that satisfy |x+3|<10. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845020 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=845020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "|x+3| < 10<BR>\n" );
document.write( "-10 < x+3 < 10<BR>\n" );
document.write( "-10-3 < x+3-3 < 10-3<BR>\n" );
document.write( "-13 < x < 7\r<BR>\n" );
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document.write( "x is between -13 and 7 excluding both endpoints.\r<BR>\n" );
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document.write( "If x was an integer then x can be selected from the set {-12, -11, -10, ..., 4, 5, 6} where the triple dots means to continue that pattern.\r<BR>\n" );
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document.write( "In the 2nd step I used the rule that |x| < k leads to -k < x < k for some positive real number k.<BR>\n" );
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