document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=557135>Question 557135</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve using the multiplication principle\r<BR>\n" );
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document.write( "-6x>1/13 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #362473 by </B><A HREF=/tutors/aboutme.mpl?userid=heilok><B>heilok(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=heilok><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=362473\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Solving this inequality, you need to be very careful about the operation of the inequality signs > and <.\r<BR>\n" );
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document.write( "When both sides of the inequality need to be multiplied or divided by a NEGATIVE number, the sign needs to be switched, i.e. changing < to > and vice versa.\r<BR>\n" );
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document.write( "For the inequality you asked, -6x>1/13, you need to divide -6x by -6 to obtain x. Therefore,right hand side also needs to be divided by -6, which is (1/13)/-6=1/-78.\r<BR>\n" );
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document.write( "However, as previously said, when both sides are divided by a negative number (-6), the inequality sign needs to be switched. The following is the layout of the solution:\r<BR>\n" );
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document.write( "       -6x>1/13<BR>\n" );
document.write( "(-6x)/-6<(1/13)/-6  //inequality sign is switched<BR>\n" );
document.write( "           x< -(1/78)\r<BR>\n" );
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document.write( "Ans: x<-(1/78)\r<BR>\n" );
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document.write( "Hopes this helps ;)\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Heil </SPAN>\n" );
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