document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=146067>Question 146067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)  Determine whether the given numbers are solutions of the inequality.<BR>\n" );
document.write( "     5,-13,-18,-1<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 #106613 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=106613\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1 \r<BR>\n" );
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document.write( "a) \r<BR>\n" );
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document.write( "Let's see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution for the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9%3E=2y-4 ALIGN=MIDDLE  ALT=\"y-9%3E=2y-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9%3E=2y-4 ALIGN=MIDDLE  ALT=\"y-9%3E=2y-4\"   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=%285%29-9%3E=2%2A%285%29-4 ALIGN=MIDDLE  ALT=\"%285%29-9%3E=2%2A%285%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%3E=2%2A%285%29-4 ALIGN=MIDDLE  ALT=\"-4%3E=2%2A%285%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%3E=6 ALIGN=MIDDLE  ALT=\"-4%3E=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the right side.\r<BR>\n" );
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document.write( "Since the inequality is <b>not</b> true, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=5 ALIGN=MIDDLE  ALT=\"y=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <b>not</b> a solution.\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "Let's see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-13 ALIGN=MIDDLE  ALT=\"y=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution for the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9%3E=2y-4 ALIGN=MIDDLE  ALT=\"y-9%3E=2y-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9%3E=2y-4 ALIGN=MIDDLE  ALT=\"y-9%3E=2y-4\"   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=%28-13%29-9%3E=2%2A%28-13%29-4 ALIGN=MIDDLE  ALT=\"%28-13%29-9%3E=2%2A%28-13%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-13 ALIGN=MIDDLE  ALT=\"y=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-22%3E=2%2A%28-13%29-4 ALIGN=MIDDLE  ALT=\"-22%3E=2%2A%28-13%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-22%3E=-30 ALIGN=MIDDLE  ALT=\"-22%3E=-30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the right side.\r<BR>\n" );
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document.write( "Since the inequality is <b>true</b>, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-13 ALIGN=MIDDLE  ALT=\"y=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "Let's see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-18 ALIGN=MIDDLE  ALT=\"y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution for the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9%3E=2y-4 ALIGN=MIDDLE  ALT=\"y-9%3E=2y-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9%3E=2y-4 ALIGN=MIDDLE  ALT=\"y-9%3E=2y-4\"   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=%28-18%29-9%3E=2%2A%28-18%29-4 ALIGN=MIDDLE  ALT=\"%28-18%29-9%3E=2%2A%28-18%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-18 ALIGN=MIDDLE  ALT=\"y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27%3E=2%2A%28-18%29-4 ALIGN=MIDDLE  ALT=\"-27%3E=2%2A%28-18%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-27%3E=-40 ALIGN=MIDDLE  ALT=\"-27%3E=-40\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the right side.\r<BR>\n" );
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document.write( "Since the inequality is <b>true</b>, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-18 ALIGN=MIDDLE  ALT=\"y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution.\r<BR>\n" );
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document.write( "d)\r<BR>\n" );
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document.write( "Let's see if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a solution for the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9%3E=2y-4 ALIGN=MIDDLE  ALT=\"y-9%3E=2y-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-9%3E=2y-4 ALIGN=MIDDLE  ALT=\"y-9%3E=2y-4\"   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=%28-1%29-9%3E=2%2A%28-1%29-4 ALIGN=MIDDLE  ALT=\"%28-1%29-9%3E=2%2A%28-1%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10%3E=2%2A%28-1%29-4 ALIGN=MIDDLE  ALT=\"-10%3E=2%2A%28-1%29-4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the left side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10%3E=-6 ALIGN=MIDDLE  ALT=\"-10%3E=-6\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate and simplify the right side.\r<BR>\n" );
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document.write( "Since the inequality is <b>not</b> true, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-1 ALIGN=MIDDLE  ALT=\"y=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <b>not</b> a solution.\r<BR>\n" );
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document.write( "--------------------- Summary ----------------------\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-13 ALIGN=MIDDLE  ALT=\"y=-13\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=-18 ALIGN=MIDDLE  ALT=\"y=-18\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the only solutions of the group.\r<BR>\n" );
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