document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199370>Question 1199370</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find a and b.\r<BR>\n" );
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document.write( "If | x + 2 | < 5, then a < x - 2 < b.\r<BR>\n" );
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document.write( "Must I solve left side inequality first?\r<BR>\n" );
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document.write( "If so, -5 < x + 2 < 5 is the set up.\r<BR>\n" );
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document.write( "Subteact 2 from all sides.\r<BR>\n" );
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document.write( "-5 - 2 < x < 5 - 2\r<BR>\n" );
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document.write( "-7 < x < 3\r<BR>\n" );
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document.write( "Is this correct? If correct, what is the next step?\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833235 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=833235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "The jump from<BR>\n" );
document.write( "|x+2| < 5<BR>\n" );
document.write( "to<BR>\n" );
document.write( "-5 < x + 2 < 5<BR>\n" );
document.write( "is valid.\r<BR>\n" );
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document.write( "The same can be said when you went from<BR>\n" );
document.write( " -5 < x + 2 < 5<BR>\n" );
document.write( "to<BR>\n" );
document.write( "-7 < x < 3\r<BR>\n" );
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document.write( "Then, as the tutor @greenestamps has pointed out, you subtract 2 from all sides to get x-2 in the middle.<BR>\n" );
document.write( "-7 < x < 3<BR>\n" );
document.write( "-7-2 < x-2 < 3-2<BR>\n" );
document.write( "-9 < x-2 < 1\r<BR>\n" );
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document.write( "Or you can subtract 4 from all sides after the absolute value bars have been removed.\r<BR>\n" );
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document.write( "Why 4? <BR>\n" );
document.write( "Because we want to go from x+2 to x-2<BR>\n" );
document.write( "The gap from +2 to -2 on the number line is 4 units.\r<BR>\n" );
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document.write( "I.e.<BR>\n" );
document.write( "x+2 to (x+2)-4 to x-2\r<BR>\n" );
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document.write( "So,<BR>\n" );
document.write( "-5 < x + 2 < 5<BR>\n" );
document.write( "-5-4 < (x + 2)-4 < 5-4<BR>\n" );
document.write( "-9 < x-2 < 1<BR>\n" );
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