document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221037>Question 221037</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please show me how to work these two examples? <BR>\n" );
document.write( "0.9x + 6 &#8804; 1.3x -3 The solution set should be {x|x __ __}<BR>\n" );
document.write( "The second is -3 &#8804; 3x-2 &#8804; -1, the solution set {x| __ &#8804; x &#8804; __}<BR>\n" );
document.write( "I have been trying for hours to figure these and just can not seem to do so. 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 #165832 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=165832\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.9x%2B6%3C=1.3x-3 ALIGN=MIDDLE  ALT=\"0.9x%2B6%3C=1.3x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%280.9x%2B6%29%3C=10%281.3x-3%29 ALIGN=MIDDLE  ALT=\"10%280.9x%2B6%29%3C=10%281.3x-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by 10 to clear out the decimals.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%2B60%3C=13x-30 ALIGN=MIDDLE  ALT=\"9x%2B60%3C=13x-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute and multiply.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x%3C=13x-30-60 ALIGN=MIDDLE  ALT=\"9x%3C=13x-30-60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60 ALIGN=MIDDLE  ALT=\"60\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x-13x%3C=-30-60 ALIGN=MIDDLE  ALT=\"9x-13x%3C=-30-60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13x ALIGN=MIDDLE  ALT=\"13x\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%3C=-30-60 ALIGN=MIDDLE  ALT=\"-4x%3C=-30-60\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4x%3C=-90 ALIGN=MIDDLE  ALT=\"-4x%3C=-90\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=%28-90%29%2F%28-4%29 ALIGN=MIDDLE  ALT=\"x%3E=%28-90%29%2F%28-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4 ALIGN=MIDDLE  ALT=\"-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to isolate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >. note: Remember, the inequality sign flips when we divide both sides by a negative number. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=45%2F2 ALIGN=MIDDLE  ALT=\"x%3E=45%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=45%2F2 ALIGN=MIDDLE  ALT=\"x%3E=45%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "Which in decimal form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=22.5 ALIGN=MIDDLE  ALT=\"x%3E=22.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So the answer in interval notation is   <font size=\"8\">[</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{45}{2},\infty\"><font size=\"8\">)</font>\r<BR>\n" );
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document.write( "Also, the answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|x\ge\frac{45}{2}\right\}\">\r<BR>\n" );
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document.write( "================================================================\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%3C=3x-2%3C=-1 ALIGN=MIDDLE  ALT=\"-3%3C=3x-2%3C=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given compound inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%2B2%3C=3x%3C=-1%2B2 ALIGN=MIDDLE  ALT=\"-3%2B2%3C=3x%3C=-1%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to all sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%3C=3x%3C=-1%2B2 ALIGN=MIDDLE  ALT=\"-1%3C=3x%3C=-1%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%3C=3x%3C=1 ALIGN=MIDDLE  ALT=\"-1%3C=3x%3C=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3%3C=x%3C=1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3%3C=x%3C=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide all sides by 3.\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F3%3C=x%3C=1%2F3 ALIGN=MIDDLE  ALT=\"-1%2F3%3C=x%3C=1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer in interval notation is   <font size=\"8\">[</font><IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \bf{-\frac{1}{3},\frac{1}{3}}\"><font size=\"8\">]</font>\r<BR>\n" );
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document.write( "Also, the answer in set-builder notation is  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left\{x\|-\frac{1}{3} \le x \le \frac{1}{3}\right\}\">\r<BR>\n" );
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document.write( " </SPAN>\n" );
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