document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935604>Question 935604</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality (x+3)^1/2 > x-1.Show also the graph. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568913 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39800)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=568913\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The given inequality has the square root restriction that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-3 ALIGN=MIDDLE  ALT=\"x%3E=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and further arithmetic <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%5E%281%2F2%29-x%2B1%3E0 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%5E%281%2F2%29-x%2B1%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > with steps (starts with squaring both sides) that lead to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-3x-2 ALIGN=MIDDLE  ALT=\"x%5E2-3x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > gives two further critical values for x:\r<BR>\n" );
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document.write( "Using general solution for a quadratic equation:<BR>\n" );
document.write( "Roots  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-sqrt%2817%29%29%2F2 ALIGN=MIDDLE  ALT=\"%283-sqrt%2817%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Bsqrt%2817%29%29%2F2 ALIGN=MIDDLE  ALT=\"%283%2Bsqrt%2817%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Those are near <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.275 ALIGN=MIDDLE  ALT=\"-0.275\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.56155 ALIGN=MIDDLE  ALT=\"3.56155\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "If you will check the intervals and find truth or falseness of the GIVEN inequality, find like this:\r<BR>\n" );
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document.write( "INTERVAL________________INEQUALITY?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3%3Cx%3C-0.275 ALIGN=MIDDLE  ALT=\"-3%3Cx%3C-0.275\"   DISABLED_style= \"max-width:90%; height:auto;\" >_____________TRUE<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-0.275%3Cx%3C3.56155 ALIGN=MIDDLE  ALT=\"-0.275%3Cx%3C3.56155\"   DISABLED_style= \"max-width:90%; height:auto;\" >________TRUE<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3.56155%3Cx ALIGN=MIDDLE  ALT=\"3.56155%3Cx\"   DISABLED_style= \"max-width:90%; height:auto;\" >_______________FALSE\r<BR>\n" );
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document.write( "Graph should be like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-4%2C4%2C-10%2C10%2C%28x%2B3%29%5E%281%2F2%29-x%2B1%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-4%2C4%2C-10%2C10%2C%28x%2B3%29%5E%281%2F2%29-x%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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