document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178539>Question 178539</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve this inequality and show the answer on the number line?<BR>\n" );
document.write( "1. -2<3x+1<11\r<BR>\n" );
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document.write( "2.  -3< (2x- 1)/3<7\r<BR>\n" );
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document.write( "I am getting somewhat confused with my formula. Help , I am desperate. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133502 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=133502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+1\">\r<BR>\n" );
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document.write( "1.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -2 < 3x + 1 < 11\">\r<BR>\n" );
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document.write( "Add -1 to each part of the inequality:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -2 - 1 < 3x + 1 - 1 < 11 - 1\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large -3 < 3x < 10\">\r<BR>\n" );
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document.write( "Multiply by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large {1 \over 3}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large {1 \over 3}( -3) < ({1 \over 3}) 3x < ({1 \over 3}) 10\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large - 1 < x < {10 \over 3} \">\r<BR>\n" );
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document.write( "Now, on your number line, draw an open circle on the -1, and another open circle at <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large {10 \over 3}\">.  Use open circles because your inequalities do not include equals.  That is they are <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large <\"> signs rather than <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \leq\"> signs.  Then make a heavy line connecting the two open circles.\r<BR>\n" );
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document.write( "You can then represent this interval using interval notation:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (-1, {10 \over 3})\"> or using set builder notation: <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \{x | x \in \R, - 1 < x < {10 \over 3}\}\">\r<BR>\n" );
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document.write( "Use this same process to solve your other problem. </SPAN>\n" );
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