document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=415650>Question 415650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> could you please help me solve this problum i dont understand -11<4x-4<3 i also thought that i would let you know that there are lines underneath the < i dont know how to put them there sorry. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #291353 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=291353\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> < with a _ under it represents smaller than or equal.\r<BR>\n" );
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document.write( "you would show that as <=   \r<BR>\n" );
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document.write( "grateer than or equal would be shown as >=\r<BR>\n" );
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document.write( "not equal would be shown as <>\r<BR>\n" );
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document.write( "if you don't know the symbol, then just use english.\r<BR>\n" );
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document.write( "you could have said -1 smaller than or equal to 4x-4 smaller than or equal to 3 and you would have been understood.\r<BR>\n" );
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document.write( "based on what you said, I would translate this problem to read:\r<BR>\n" );
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document.write( "-11 <= 4x-4 <= 3\r<BR>\n" );
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document.write( "add 4 to all sides of this equation to get:\r<BR>\n" );
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document.write( "-7 <= 4x <= 7\r<BR>\n" );
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document.write( "divide all sides of this equation by 4 to get:\r<BR>\n" );
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document.write( "-7/4 <= x <= 7/4\r<BR>\n" );
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document.write( "that should be your answer.\r<BR>\n" );
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document.write( "as long as x is between -7/4 and 7/4, the original equation should be true.\r<BR>\n" );
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document.write( "the original equation is -11 <= 4x-4 <= 3\r<BR>\n" );
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document.write( "if you let x = -7/4, then you get:\r<BR>\n" );
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document.write( "-11 <= 4*(-7/4) - 4 <= 3\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "-11 <= -7 - 4 <= 3\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "-11 <= -11 <= 3 which is true so we're good.\r<BR>\n" );
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document.write( "if you let x = 7/4, then your original equation becomes:\r<BR>\n" );
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document.write( "-11 <= (7/4)*4 - 4 <= 3\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "-11 <= 7 - 4 <= 3\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "-11 <= 3 <= 3 which is true so we're still good.\r<BR>\n" );
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document.write( "if x is smaller than -7/4 or x is greater than 7/4, we will not be good.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( "let x = -2 which is smaller than -7/4.\r<BR>\n" );
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document.write( "your original equation becomes:\r<BR>\n" );
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document.write( "-11 <= 4*(-2) - 4 <= 3\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "-11 <= -8 - 4 <= 3\r<BR>\n" );
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document.write( "simplify further to get:\r<BR>\n" );
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document.write( "-11 <= -12 <=- 3 which is not true because -11 is not <= -12.\r<BR>\n" );
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document.write( "you can also break the problem into 2 equivalent statements.\r<BR>\n" );
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document.write( "-11 <= 4x-4 <= 3 can be broken up into the following 2 statements.\r<BR>\n" );
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document.write( "-11 <= 4x-4 and 4x-4 <= 3\r<BR>\n" );
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document.write( "you can then solve each one of them separately.\r<BR>\n" );
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document.write( "-11 <= 4x-4<BR>\n" );
document.write( "add 4 to each side to get -7 <= 4x<BR>\n" );
document.write( "divide each side by 4 to get -7/4 <= x\r<BR>\n" );
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document.write( "4x-4 <= 3<BR>\n" );
document.write( "add 4 to each side to get 4x <= 7<BR>\n" );
document.write( "divide each side by 4 to get x <= 7/4\r<BR>\n" );
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document.write( "put the 2 equations together to getr:\r<BR>\n" );
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document.write( "-7/4 <= x <= 7/4\r<BR>\n" );
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document.write( "you'll get the same answer either way.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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