document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=348550>Question 348550</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am working on Solving Compound Inequalities<BR>\n" );
document.write( "The problem I'm working on is as follows:<BR>\n" );
document.write( "Solve the compound inequality, if possible.  Graph the solution set (if one exists) and write it using interval notation:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x%2B2%29%3C=12 ALIGN=MIDDLE  ALT=\"-4%28x%2B2%29%3C=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B8%3C11 ALIGN=MIDDLE  ALT=\"3x%2B8%3C11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I've solved both linear equations and have what follows:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=-9%2F2 ALIGN=MIDDLE  ALT=\"x%3C=-9%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1 ALIGN=MIDDLE  ALT=\"x%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "My problem is the interval notation.  I graphed the answers & I don't understand why the answer in the back of the book is (-infinity, 1).\r<BR>\n" );
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document.write( "They intersect at -9/2.  I thought the answer would be no solution.  \r<BR>\n" );
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document.write( "The only thing I can think of, is that if the answer intersects and goes both ways, the answer is (-infinity, infinity), but since this one is only going negative, it's (-infinity, 1). \r<BR>\n" );
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document.write( "Thank you for your time!  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #249168 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=249168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: I'm assuming that the first inequality should be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x%2B2%29%3E=12 ALIGN=MIDDLE  ALT=\"-4%28x%2B2%29%3E=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and the solution to that inequality is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=-5 ALIGN=MIDDLE  ALT=\"x%3C=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since x can be either less than or equal to -5 or less than 1, this means that the solution set is really just <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1 ALIGN=MIDDLE  ALT=\"x%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" > (since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5 ALIGN=MIDDLE  ALT=\"-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is less than 1). We can completely ignore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=-5 ALIGN=MIDDLE  ALT=\"x%3C=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > as this entire solution set lies within <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1 ALIGN=MIDDLE  ALT=\"x%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the solution to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%28x%2B2%29%3E=12 ALIGN=MIDDLE  ALT=\"-4%28x%2B2%29%3E=12\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B8%3C11 ALIGN=MIDDLE  ALT=\"3x%2B8%3C11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1 ALIGN=MIDDLE  ALT=\"x%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and it is represented in interval notation by <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \left(-\infty,1\right)\">\r<BR>\n" );
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document.write( "Jim </SPAN>\n" );
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