document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=74808>Question 74808</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078603900/algebrahomeworkh>Algebra I</A><BR>\n" );
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document.write( "              solve the inequality <BR>\n" );
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document.write( "               8c-(c-5)>c+17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #53752 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=53752\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8c-(c-5)>c+17<BR>\n" );
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document.write( "You can perform math operations on inequalities just as you would on an equation with the<BR>\n" );
document.write( "exception that if in solving this problem you need to multiply or divide both sides by <BR>\n" );
document.write( "a negative quantity, you must reverse the direction of the inequality sign.<BR>\n" );
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document.write( "Let's work this problem just as we would an equation. The goal is to get the variable c<BR>\n" );
document.write( "on one side of the inequality and the numbers on the other side.<BR>\n" );
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document.write( "Begin by removing the parentheses.  Since the parentheses are preceded by a negative <BR>\n" );
document.write( "sign, you can remove the parentheses as long as you change the signs of the terms inside them.<BR>\n" );
document.write( "Applying this rule results in:<BR>\n" );
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document.write( "8c - c + 5 > c + 17<BR>\n" );
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document.write( "On the left side, combine the two terms containing c to get:<BR>\n" );
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document.write( "7c + 5 > c + 17<BR>\n" );
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document.write( "Get rid of the c on the right side by subtracting c from both sides to get:<BR>\n" );
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document.write( "6c + 5 > 17<BR>\n" );
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document.write( "Get rid of the +5 on the left side by subtracting 5 from both sides:<BR>\n" );
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document.write( "6c > 12<BR>\n" );
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document.write( "Solve for c by dividing both sides by 6 the multiplier of c:<BR>\n" );
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document.write( "c > 2<BR>\n" );
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document.write( "That's the answer. The original inequality will hold for all values of c that are greater<BR>\n" );
document.write( "than +2.<BR>\n" );
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document.write( "Notice we did not need to apply the rule that if you divide or multiply both sides by<BR>\n" );
document.write( "a negative number you need to reverse the direction of the inequality sign.<BR>\n" );
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document.write( "Hope this clarifies the problem for you and helps you to see how to solve inequalities.<BR>\n" );
document.write( " </SPAN>\n" );
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