document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1183086>Question 1183086</A>: <I><SPAN STYLE=\"word-break: break-all;\"> negative one-sixth of a number is less than -9 define a variable. write an inequality and solve the inequality. thank you in advance for your help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #813245 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=813245\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the inequality is:\r<BR>\n" );
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document.write( "-1/6 * x < -9\r<BR>\n" );
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document.write( "multiply both sides of the inequality by -1 to get:\r<BR>\n" );
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document.write( "1/6 * x > 9\r<BR>\n" );
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document.write( "multiplying both sides of an inequality by a negative number reverses the inequality.<BR>\n" );
document.write( "that's what happened above when we multiplied both sides of the inequality by -1.\r<BR>\n" );
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document.write( "the inequality becomes 1/6 * x > 9<BR>\n" );
document.write( "multiply both sides of the inequality by 6 to get:<BR>\n" );
document.write( "x > 9 * 6 which becomes:<BR>\n" );
document.write( "x > 54.\r<BR>\n" );
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document.write( "if x is greater than 54, the inequality is true.<BR>\n" );
document.write( "if x is equal to or less than 54, the inequality is false.\r<BR>\n" );
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document.write( "take x = 60 which is greater than 54.<BR>\n" );
document.write( "the inequality becomes:<BR>\n" );
document.write( "-1/6 * 60 < -9 which becomes -10 < -9 which is true.\r<BR>\n" );
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document.write( "take x = 54 which is equal to 54.<BR>\n" );
document.write( "the inequality becomes:<BR>\n" );
document.write( "-1/6 * 54 < -9 which becomes -9 < -9 which is false.\r<BR>\n" );
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document.write( "take x = 48 which is less than 54.<BR>\n" );
document.write( "the inequality becomes:<BR>\n" );
document.write( "-1/6 * 48 < -9 which becomes -8 < -9 which is false.\r<BR>\n" );
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document.write( "this confirms that the inequality is true only if x > 54.\r<BR>\n" );
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