document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=166568>Question 166568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the absolute value inequality. Other than Ø, use interval notation to express the solution set and graph the solution set on a number line. <BR>\n" );
document.write( "|2y + 6/3| < 2\r<BR>\n" );
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document.write( "a) (-Infinity, -6) U (nonzero, Infinity)\r<BR>\n" );
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document.write( "b) (-6,nonzero)\r<BR>\n" );
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document.write( "c) (-6, 6)\r<BR>\n" );
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document.write( "d) (-Infinity, -6) U (6, Infinity)<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 #122773 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=122773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> |(2y + 6)/3| < 2 I assume that this is the problem.<BR>\n" );
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document.write( "(2y+6)/3<2<BR>\n" );
document.write( "2y+6<6 multiply each side by 3.<BR>\n" );
document.write( "2y<0<BR>\n" );
document.write( "y<0<BR>\n" );
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document.write( "(2y+6)/3>-2 Notice that we reversed the inequality sign.<BR>\n" );
document.write( "2y+6>-6<BR>\n" );
document.write( "2y>-12<BR>\n" );
document.write( "y>-6<BR>\n" );
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document.write( "(-6,0)<BR>\n" );
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document.write( "Ed </SPAN>\n" );
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