document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=584166>Question 584166</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 28 is less than 12 more than 8 times a number </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #372840 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=372840\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can work this problem by starting at the back and moving toward the front. The term \"a number\" tells you that there is a number of unknown value. You can use X to represent that number. <BR>\n" );
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document.write( "Then there is the wording \"8 times a number\" which you can translate to 8 times X or just 8X. <BR>\n" );
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document.write( "Then moving closer to the front you are told \"12 more than 8 times a number\" which is 12 more than 8X and in algebraic form this is 12 + 8X<BR>\n" );
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document.write( "Finally you are told that 28 is less than that. So you can write the inequality:<BR>\n" );
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document.write( "28 < 12 + 8X<BR>\n" );
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document.write( "You can solve this using rules much like apply to an equation. (An exception to those rules is that if you multiply or divide both sides by a negative number, you reverse the direction of the inequality sign. In this problem, you do not have to worry about that happening.)<BR>\n" );
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document.write( "Next, isolate the 8X on the right side by getting rid of the 12 on the right side. Do that by subtracting 12 from both sides to get:<BR>\n" );
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document.write( "16 < 8X<BR>\n" );
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document.write( "Finally solve the inequality for X by dividing both sides by +8. The result is:<BR>\n" );
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document.write( "2 < X<BR>\n" );
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document.write( "Since the inequality sign points to the smaller quantity, you can read this as \"X is greater than 2\" or X > 2. This means that on the number line X can be any value to the right of +2. <BR>\n" );
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document.write( "Hope this helps you to understand this inequality problem.<BR>\n" );
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