document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62728>Question 62728</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each inequality question solve, graph the set & write interval notation\r<BR>\n" );
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document.write( "Q1.  0.3 < 0.2x - 0.9 < 1.5\r<BR>\n" );
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document.write( "Q2.  |-4| - (-4) + |-20|\r<BR>\n" );
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document.write( "Q3.  5x-8 < 2 (2+x) < -2 (1+2x)\r<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 #43551 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=43551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Q1. 0.3 < 0.2x - 0.9 < 1.5 <BR>\n" );
document.write( "Add 0.9 along the line to get:<BR>\n" );
document.write( "1.2<0.2x<2.4<BR>\n" );
document.write( "Divide by 0.2 along the line to get:<BR>\n" );
document.write( "6<x<12<BR>\n" );
document.write( "(6,12<BR>\n" );
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document.write( "Q2. |-4| - (-4) + |-20|<BR>\n" );
document.write( "=4 +4 + 20 <BR>\n" );
document.write( "= 28<BR>\n" );
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document.write( "Q3. 5x-8 < 2 (2+x) < -2 (1+2x) <BR>\n" );
document.write( "5x-8 < 4+2x <-2-4x<BR>\n" );
document.write( "Subtract 2x along the line to get:<BR>\n" );
document.write( "3x-8 < 4 <-2-6x<BR>\n" );
document.write( "Separate into two inequalities:<BR>\n" );
document.write( "3x-8<4<BR>\n" );
document.write( "3x<12<BR>\n" );
document.write( "x<4<BR>\n" );
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document.write( "4<-2-6x<BR>\n" );
document.write( "6x<-6<BR>\n" );
document.write( "x<-1<BR>\n" );
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document.write( "To meet both of these conditions <BR>\n" );
document.write( "x must be less than -1.<BR>\n" );
document.write( "Interval notation: (-inf,-1)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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