document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=211558>Question 211558</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have tried these problems a few times and cannot come up with a solution...help!<BR>\n" );
document.write( "a) 3|x|+12=7<BR>\n" );
document.write( "b) 5|x+3| +6=3<BR>\n" );
document.write( "c) 12-|2x+7>=14 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #159849 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=159849\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Aabs%28x%29%2B12=7 ALIGN=MIDDLE  ALT=\"3%2Aabs%28x%29%2B12=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Aabs%28x%29=-5 ALIGN=MIDDLE  ALT=\"3%2Aabs%28x%29=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 12 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29=-5%2F3 ALIGN=MIDDLE  ALT=\"abs%28x%29=-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 3\r<BR>\n" );
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document.write( "Since the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29=-5%2F3 ALIGN=MIDDLE  ALT=\"abs%28x%29=-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=4><b>never</b></font> true (note: remember, the absolute value of any number is <font size=4><b>always positive</b></font>), there are no solutions to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29=-5%2F3 ALIGN=MIDDLE  ALT=\"abs%28x%29=-5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So there are no solutions.\r<BR>\n" );
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document.write( "b)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aabs%28x%2B3%29%2B6=3 ALIGN=MIDDLE  ALT=\"5%2Aabs%28x%2B3%29%2B6=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2Aabs%28x%2B3%29=-3 ALIGN=MIDDLE  ALT=\"5%2Aabs%28x%2B3%29=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 6 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B3%29=-3%2F5 ALIGN=MIDDLE  ALT=\"abs%28x%2B3%29=-3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5\r<BR>\n" );
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document.write( "Since the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B3%29=-0.6 ALIGN=MIDDLE  ALT=\"abs%28x%2B3%29=-0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <font size=4><b>never</b></font> true (note: remember, the absolute value of any number is <font size=4><b>always positive</b></font>), there are no solutions to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B3%29=-0.6 ALIGN=MIDDLE  ALT=\"abs%28x%2B3%29=-0.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So there are no solutions.\r<BR>\n" );
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document.write( "c) \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12-abs%282x%2B7%29%3E=14 ALIGN=MIDDLE  ALT=\"12-abs%282x%2B7%29%3E=14\"   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=-abs%282x%2B7%29%3E=14-12 ALIGN=MIDDLE  ALT=\"-abs%282x%2B7%29%3E=14-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 12 from both sides.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-abs%282x%2B7%29%3E=2 ALIGN=MIDDLE  ALT=\"-abs%282x%2B7%29%3E=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x%2B7%29%3C=-2 ALIGN=MIDDLE  ALT=\"abs%282x%2B7%29%3C=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by -1 (this will flip the inequality).\r<BR>\n" );
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document.write( "Because <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x%2B7%29%3E=0 ALIGN=MIDDLE  ALT=\"abs%282x%2B7%29%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > for ALL 'x', this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%282x%2B7%29%3C=-2 ALIGN=MIDDLE  ALT=\"abs%282x%2B7%29%3C=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > is simply not possible.\r<BR>\n" );
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document.write( "So there are no solutions.\r<BR>\n" );
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document.write( "So this might explain why you couldn't come up with a solution....as there are none. However, make sure that you copied down the problems correctly. </SPAN>\n" );
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