document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=328694>Question 328694</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the answer for 9 less than the product of a number and -4 is greater than 7? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #235469 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=235469\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to begin with, let the number be x.\r<BR>\n" );
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document.write( "the product of the number and -4 is equal to -4*x.\r<BR>\n" );
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document.write( "9 less than that is equal to -4*x - 9\r<BR>\n" );
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document.write( "the whole thing is greater than 7 becomes:\r<BR>\n" );
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document.write( "-4*x - 9 > 7\r<BR>\n" );
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document.write( "add 9 to both sides of this equation to get:\r<BR>\n" );
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document.write( "-4*x > 16\r<BR>\n" );
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document.write( "divide both sides of this equation by 4 to get:\r<BR>\n" );
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document.write( "-x > 4\r<BR>\n" );
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document.write( "multiply both sides of this equation by -1 to get:\r<BR>\n" );
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document.write( "x < -4\r<BR>\n" );
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document.write( "The multiplication of both sides of an inequality by a negative number reverses the inequality.\r<BR>\n" );
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document.write( "You can test your answer by substituting in the original equation.\r<BR>\n" );
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document.write( "If x is smaller than -4, then the equation should be true.\r<BR>\n" );
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document.write( "If x is equal to or greater than -4, then the equation should be false.\r<BR>\n" );
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document.write( "We'll work from the original statement rather than the original equation.\r<BR>\n" );
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document.write( "They should both be equivalent if we translated the statement to the equation correctly,.\r<BR>\n" );
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document.write( "the original statement is:\r<BR>\n" );
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document.write( "what is the answer for 9 less than the product of a number and -4 is greater than 7?\r<BR>\n" );
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document.write( "when x = -5, this statement becomes:\r<BR>\n" );
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document.write( "what is the answer for 9 less than the product of -5 and -4 is greater than 7\r<BR>\n" );
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document.write( "product of -5 and -4 = 20<BR>\n" );
document.write( "9 less than that = 11<BR>\n" );
document.write( "11 is greater than 7 so we're good.\r<BR>\n" );
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document.write( "we'll next try x = -4\r<BR>\n" );
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document.write( "product of -4 and -4 = 16<BR>\n" );
document.write( "9 less than that = 7<BR>\n" );
document.write( "7 is NOT greater than 7 so we're good because x had to be less than -4, not equal to it.\r<BR>\n" );
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document.write( "we'll next try x = -3\r<BR>\n" );
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document.write( "product of -4 and -3 = 12<BR>\n" );
document.write( "9 less than 12 = 3<BR>\n" );
document.write( "3 is NOT greater than 7 so we're good because x had to be less than -4, not greater than it.\r<BR>\n" );
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document.write( "Your answer is that x has to be smaller than -4.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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