document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=285551>Question 285551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This has to do with inequalities\r<BR>\n" );
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document.write( "8 (x + 4) < 4 (x + 16)\r<BR>\n" );
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document.write( "Is one of these are the solutions\r<BR>\n" );
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document.write( "1) x/x < 10 or is it x/x < 8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #206953 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=206953\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Equation is:\r<BR>\n" );
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document.write( "8 * (x + 4) < 4 * (x + 16)\r<BR>\n" );
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document.write( "Simplify by removing parentheses to get:\r<BR>\n" );
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document.write( "8*x + 4*8 < 4*x + 4*16\r<BR>\n" );
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document.write( "Simplify to get:\r<BR>\n" );
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document.write( "8*x + 32 < 4*x + 64\r<BR>\n" );
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document.write( "Subtract 4*x from both sides of the equation to get:\r<BR>\n" );
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document.write( "4*x + 32 < 64\r<BR>\n" );
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document.write( "Subtract 32 from both sides of the equation to get:\r<BR>\n" );
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document.write( "4*x < 32\r<BR>\n" );
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document.write( "Divide both sides of the equation by 4 to get:\r<BR>\n" );
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document.write( "x < 8\r<BR>\n" );
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document.write( "That should be your solution.\r<BR>\n" );
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document.write( "Assume x = 7 and substitute in your original equation to get:\r<BR>\n" );
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document.write( "8 * (7 + 4) < 4 * (7 + 16) which becomes:\r<BR>\n" );
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document.write( "8*(11) < 4*(23) which becomes:\r<BR>\n" );
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document.write( "88 < 92.\r<BR>\n" );
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document.write( "Since this is true, it confirms that the inequality is good.\r<BR>\n" );
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document.write( "Assume x = 8 and substitute in your original equation to get:\r<BR>\n" );
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document.write( "8 * (8 + 4) < 4 * (8 + 16) which becomes:\r<BR>\n" );
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document.write( "8*(12) < 4*(24) which becomes:\r<BR>\n" );
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document.write( "96 < 96.\r<BR>\n" );
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document.write( "Since this is false, it confirms that the inequality is good because x had to be smaller than 8, not equal to 8.\r<BR>\n" );
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document.write( "Assume x is 9.\r<BR>\n" );
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document.write( "Your answer of x/x < 10 or x/x < 8 doesn't make sense.\r<BR>\n" );
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document.write( "x/x will always be equal to 1 unless x is 0, in which case the answer would be indeterminate.\r<BR>\n" );
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document.write( "If you meant x < 10 or x <8, then one of your answer is good, namely the one that says x < 8.\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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