document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79217>Question 79217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve and graph the solution set. 3(x-4)>7x-9.  I do not know to solve this problem at all.  Your help will be greatly appreciated thank you so much and God bless you to continue helping all of us.                                                              </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #56859 by </B><A HREF=/tutors/aboutme.mpl?userid=mathdoc315><B>mathdoc315(6)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathdoc315><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=56859\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I do not believe the Bible that much but thank you for your blessing!  I love to help even if I am just a holy Heathen.\r<BR>\n" );
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document.write( "3(x-4) > 7x-9\r<BR>\n" );
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document.write( "You can manipulate this one just like an equation\r<BR>\n" );
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document.write( "There is one rule that is different in balancing inequalities and equations\r<BR>\n" );
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document.write( "When you divide or multiply both sides of an inequality, and the multiplier is less than zero, then the direction of the inequality changes.\r<BR>\n" );
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document.write( "For example 1 < 2  but if you multiply both sides by -2 it becomes: -2 > -4.<BR>\n" );
document.write( "It is as if you took the whole number line with the + and numbers on it and flipped it around backwards and then stretched it.\r<BR>\n" );
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document.write( "But this one is so simple you don't even have to know that\r<BR>\n" );
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document.write( "3(x-4) is always 3x - 12\r<BR>\n" );
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document.write( "3x - 12 > 7x - 9   Remember we are trying to discover what values of x will work and make this true.  \r<BR>\n" );
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document.write( "Add 9 to each side\r<BR>\n" );
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document.write( "3x - 3 > 7x\r<BR>\n" );
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document.write( "Subtract 3x from each side<BR>\n" );
document.write( " -3 > 4x\r<BR>\n" );
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document.write( "Divide both sides by 4\r<BR>\n" );
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document.write( " -3/4 > x\r<BR>\n" );
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document.write( "I always understand these better if the x is on the left.  Let me do it again in a different order\r<BR>\n" );
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document.write( "3x - 12 > 7x - 9\r<BR>\n" );
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document.write( "Subtract 7x and add 12 to each side\r<BR>\n" );
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document.write( "-4x > 3\r<BR>\n" );
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document.write( "Divide by -4\r<BR>\n" );
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document.write( "x < -3/4\r<BR>\n" );
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document.write( "Now graph it.  Here is a number line I am trying to type you from -2 to +2<BR>\n" );
document.write( "and I am shading it with ####  and a O for the endpoint which is open.<BR>\n" );
document.write( "I hope you can see here that I am making fractions like this\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "          1\r\n" );
document.write( "1/2  is  --\r\n" );
document.write( "          2\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( " |---+---+---+---|---+---+---+---|---+---+---+---|---+---+---+---|\r\n" );
document.write( "    -7   -3  -5      -3  -1  -1      1   1   3       5   3   7   \r\n" );
document.write( "-2  --   --  --  -1  --  --  --  0  --  --  --   1   --  --  --  1\r\n" );
document.write( "     4    2   4       4  2   4       4   2   4       4   2   4\r\n" );
document.write( "</PRE>\r<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
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document.write( " <###+####+###+###|###O---+---+---|---+---+---+---|---+---+---+---|\r\n" );
document.write( "    -7   -3  -5      -3  -1  -1      1   1   3       5   3   7   \r\n" );
document.write( "-2  --   --  --  -1   --  --  --  0  --  --  --   1   --  --  --  1\r\n" );
document.write( "     4    2   4       4  2   4       4   2   4       4   2   4\r\n" );
document.write( "</PRE> </SPAN>\n" );
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