document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150501>Question 150501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the inequality and write the solution in interval notation<BR>\n" );
document.write( "x+1/x+3 > 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110466 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=110466\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the inequality and write the solution in interval notation<BR>\n" );
document.write( "x+1/x+3 > 2<BR>\n" );
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document.write( "x cannot be -1<BR>\n" );
document.write( "x cannot be -3<BR>\n" );
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document.write( "Solve the equality by cross-multiplying:<BR>\n" );
document.write( "x+1 = 2(x+3)<BR>\n" );
document.write( "x+1 = 2x+6<BR>\n" );
document.write( "x cannot be -5<BR>\n" );
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document.write( "Draw a number line and plot -5, -3, -1 on it<BR>\n" );
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document.write( "Since x=-5 yields equality test values on either side to find the solution set.<BR>\n" );
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document.write( "Check x = -6; (-6+1)/(-6+3) >2; false, so no solutions in (-inf,-6)<BR>\n" );
document.write( "Check x = -4: (-4+1)/(-4+3) >2; true, so solutions in (-5,-3)<BR>\n" );
document.write( "Check x = -2: (-2+1)/(-2+3) >2; false, so no solutions in (-3,+inf)<BR>\n" );
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document.write( "Final Answer: -5 < x < -3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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