document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=162839>Question 162839</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve and write interval notation for the solution set <BR>\n" );
document.write( "-4 less than or equal to 3x+1 less than 7\r<BR>\n" );
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document.write( "Thanks in advance!!!\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 #120026 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=120026\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%3C=3x%2B1%3C7 ALIGN=MIDDLE  ALT=\"-4%3C=3x%2B1%3C7\"   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=-4-1%3C=3x%3C7-1 ALIGN=MIDDLE  ALT=\"-4-1%3C=3x%3C7-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > from <b>all</b> sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%3C=3x%3C7-1 ALIGN=MIDDLE  ALT=\"-5%3C=3x%3C7-1\"   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=-5%3C=3x%3C6 ALIGN=MIDDLE  ALT=\"-5%3C=3x%3C6\"   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=%28-5%29%2F3%3C=x%3C%286%29%2F3 ALIGN=MIDDLE  ALT=\"%28-5%29%2F3%3C=x%3C%286%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide <b>all</b> sides by 3 to isolate \"x\".\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F3%3C=x%3C2 ALIGN=MIDDLE  ALT=\"-5%2F3%3C=x%3C2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce.\r<BR>\n" );
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document.write( "So the answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F3%3C=x%3C2 ALIGN=MIDDLE  ALT=\"-5%2F3%3C=x%3C2\"   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{5}{3},2}\"><font size=\"8\">)</font>\r<BR>\n" );
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document.write( "Note: remember, brackets <b>in</b>clude the endpoints while parenthesis <b>ex</b>clude the endpoints.\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{5}{3} \le x < 2\right\}\">\r<BR>\n" );
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document.write( "Here's the graph of the solution set\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C80%2C-10%2C+7%2C-10%2C+10%2C%0D%0Anumber_line%28+500%2C+-10%2C+7+%2C-5%2F3%29%2C%0D%0A%0D%0Ablue%28line%28-5%2F3%2C0%2C2%2C0%29%29%2C%0D%0Ablue%28line%28-5%2F3%2C0.30%2C2%2C0.30%29%29%2C%0D%0Ablue%28line%28-5%2F3%2C0.15%2C2%2C0.15%29%29%2C%0D%0Ablue%28line%28-5%2F3%2C-0.15%2C2%2C-0.15%29%29%2C%0D%0Ablue%28line%28-5%2F3%2C-0.30%2C2%2C-0.30%29%29%2C%0D%0Acircle%282%2C0%2C0.25%29%2C%0D%0Acircle%282%2C0%2C0.20%29%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set\r<BR>\n" );
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document.write( "Note:\r<BR>\n" );
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document.write( "There is a <b>closed</b> circle at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5%2F3 ALIGN=MIDDLE  ALT=\"x=-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that we're <b>in</b>cluding this value in the solution set\r<BR>\n" );
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document.write( "Also, there is an <b>open</b> circle at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=2 ALIGN=MIDDLE  ALT=\"x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that we're <b>ex</b>cluding this value from the solution set.<BR>\n" );
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