document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598019>Question 598019</A>: <I><SPAN STYLE=\"word-break: break-all;\"> i want to know the solution of the following question...plzzzz help me ..\r<BR>\n" );
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document.write( "Q) 3/|2x-1|&#8805; 4\r<BR>\n" );
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document.write( "also tell me that what is the difference between these two inequalities?<BR>\n" );
document.write( "3/|2x-1|&#8805;4 AND 3/|2x-1|>4<BR>\n" );
document.write( "can we solve these two in the same way??? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378426 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=378426\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i want to know the solution of the following question...plzzzz help me .. <BR>\n" );
document.write( "Q) 3/|2x-1|&#8805; 4 <BR>\n" );
document.write( "also tell me that what is the difference between these two inequalities?<BR>\n" );
document.write( "3/|2x-1|&#8805;4 AND 3/|2x-1|>4<BR>\n" );
document.write( "can we solve these two in the same way???<BR>\n" );
document.write( "**<BR>\n" );
document.write( "3/|2x-1|&#8805; 4<BR>\n" );
document.write( "We must solve for 2 conditions because we do not know if the expression within the absolute signs is > 0 or <0.<BR>\n" );
document.write( "For (2x-1)>0<BR>\n" );
document.write( "3/(2x-1)&#8805;4<BR>\n" );
document.write( "3&#8805;8x-4<BR>\n" );
document.write( "7&#8805;8x<BR>\n" );
document.write( "8x&#8804;7<BR>\n" );
document.write( "x&#8804;7/8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "For (2x-1)<0<BR>\n" );
document.write( "3/(-2x+1)&#8805;4<BR>\n" );
document.write( "3&#8805;-8x+4<BR>\n" );
document.write( "-1&#8805;-8x<BR>\n" );
document.write( "divide by -1 and reverse inequality sign<BR>\n" );
document.write( "1&#8804;8x<BR>\n" );
document.write( "8x&#8805;1<BR>\n" );
document.write( "x&#8805;1/8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "number line:<BR>\n" );
document.write( "<........[1/8<===>7/8].............><BR>\n" );
document.write( "solution: [1/8,7/8]<BR>\n" );
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document.write( "To answer your questions:<BR>\n" );
document.write( "As you can see from the solution, both inequalities can be solved in the same way.<BR>\n" );
document.write( "The important difference is in the solution interval which shows whether or not the end values like 7/8 and 1/8 are included in the interval. &#8804; or &#8805; means they are included as the brackets [ ] indicate. If only < or > were used, parenthesis ( ) instead would be used.  Hope this helps </SPAN>\n" );
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