document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=544173>Question 544173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me understand this.  Thanks!\r<BR>\n" );
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document.write( "Solve in interval notation<BR>\n" );
document.write( "(x + 1)/(x-4)  &#8804;  0 </SPAN>\n" );
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document.write( "Solve in interval notation<BR>\n" );
document.write( "(x + 1)/(x-4) &#8804; 0<BR>\n" );
document.write( "**<BR>\n" );
document.write( "set factors=0, then solve for x<BR>\n" );
document.write( "x+1=0<BR>\n" );
document.write( "x=-1<BR>\n" );
document.write( "x-4=0<BR>\n" );
document.write( "x=4<BR>\n" );
document.write( "critical points are -1 and 4<BR>\n" );
document.write( "draw a number line with critical points on it<BR>\n" );
document.write( "<...+...-1...-....4....+....><BR>\n" );
document.write( "solution in interval notation:<BR>\n" );
document.write( "[-1,4] (includes -1 and 4)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Explanation for number line:<BR>\n" );
document.write( "It is easily seen that for x>4, the function>0. Moving to the left, the sign of each interval switches when we go thru a critical x of odd multiplicity like 1, 3, 5, etc. Given x's are all of multiplicity 1. </SPAN>\n" );
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