document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=755133>Question 755133</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the set of all solutions of the inequality x^2 + 2x -3 <= 0 (<= means less than or equal to) ? \r<BR>\n" );
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document.write( "When I did this problem i took x^2 + 2x -3 <= 0 and factored it so it looked like (x-1)(x+3)=0. Then I took x-1=0 and x+3=0 and solved for x and got 1 and -3 and got [-3,1]. Would that be correct? If not can you please show me how to do it correctly? Thank you :)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #459517 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39632)</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=459517\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You are than halfway to the complete answer.  You found the correct roots. \r<BR>\n" );
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document.write( "The intervals formed for the expression of x are these:\r<BR>\n" );
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document.write( "(-infinity,-3]<BR>\n" );
document.write( "[-3,1]<BR>\n" );
document.write( "[1, infinity)\r<BR>\n" );
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document.write( "Next, determine in which intervals is the given inequality statement true and which false.  You can pick points and perform computation if you wish.<BR>\n" );
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document.write( "You can use your knowledge of parabola equations.  \r<BR>\n" );
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document.write( "Easiest to just check the middle interval, between the roots.  Try any value within it.  As example, try x=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2A0%2B2%2A0-3%3C=0 ALIGN=MIDDLE  ALT=\"0%2A0%2B2%2A0-3%3C=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Is this true?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0-3%3C=-3%3C=0 ALIGN=MIDDLE  ALT=\"0-3%3C=-3%3C=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > TRUE!\r<BR>\n" );
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document.write( "Knowing how the parabola works, the other intervals are not part of the solution.  Solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-3%3C=x%3C=1%29 ALIGN=MIDDLE  ALT=\"highlight%28-3%3C=x%3C=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  </SPAN>\n" );
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