document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=137976>Question 137976</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PROBLEM:<BR>\n" );
document.write( "SOLVE THE INEQUALITY AND WRITE THE SOLUTION IN INTERVAL NOTATION...<BR>\n" );
document.write( "2x+5/x-3 <0\r<BR>\n" );
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document.write( "***(2X PLUS 5 OVER X MINUS 3 IS LESS THAN OR GREATER TO ZERO) ( ALSO THE LESS THAN SIGN IS SUPPOSE TO BE A LESS THAN OR GREATER THAN SIGN, BUT I DID NOT KNOW HOW TO TYPE THAT IN THE COMPUTER..)PLEASE HELP ME TO SOLVE THIS PROBLEM.. I DONT KNOW WHERE TO BEGIN?... THE BACK OF THE BOOK SAID THE ANSWER WAS [-5/2, 3)THANKS,<BR>\n" );
document.write( "lj23kfuller@yahoo.com<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 #100835 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=100835\">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( "2x+5/x-3 <= 0 <BR>\n" );
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document.write( "1st: Solve the EQUALITY:<BR>\n" );
document.write( "2x+5 = 0<BR>\n" );
document.write( "x = -5/2<BR>\n" );
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document.write( "2nd: Identify values x cannot take: x-3=0, x = 3<BR>\n" );
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document.write( "#3rd: Draw a number line and plot the numbers x=-5/2 and x = 3<BR>\n" );
document.write( "Try test values from each of the three intervals in the INEQUALITY:<BR>\n" );
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document.write( "If x=-3, (2*-3+5)/(-3-3) > 0 so no solutions in (-inf,-5/2)<BR>\n" );
document.write( "If x = 0, (2*0+5/(0-3) < 0 so solutions in (5/2,3)<BR>\n" );
document.write( "If x = 4, (2*4+5)/(4-3) > 0 so no solutions in (3,+inf)<BR>\n" );
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document.write( "Final answer for the original equality/inequality: [-5/2,3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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