document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=129618>Question 129618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you please help me with this equation: 4(3y-2)>=992y+5) <BR>\n" );
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document.write( "                                    Sincerely,<BR>\n" );
document.write( "                                             LH </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94624 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=94624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> algebra.com is still functioning. Sometimes problems get ignored for no apparent reason.<BR>\n" );
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document.write( "or four ways that it might be interpreted.<BR>\n" );
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document.write( "Your problem was written as:<BR>\n" );
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document.write( "4(3y-2)>=992y+5)<BR>\n" );
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document.write( "I think you meant it to be:<BR>\n" );
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document.write( "4(3y-2)>=9(2y+5)<BR>\n" );
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document.write( "You can work this inequality just as you would an equation with one exception ... if you<BR>\n" );
document.write( "ever have to divide or multiply both sides by a negative quantity, when you do the division<BR>\n" );
document.write( "or multiplication by that negative quantity, you reverse the direction of the inequality sign<BR>\n" );
document.write( "at the same time.<BR>\n" );
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document.write( "Let's follow the rules of equation solving in working this problem. First let's do the<BR>\n" );
document.write( "distributed multiplication on both sides ... on the left side multiply the 4 by both terms<BR>\n" );
document.write( "in that set of parentheses and on the right side multiply the 9 by both terms in that set of <BR>\n" );
document.write( "parentheses. These multiplications expand the inequality to:<BR>\n" );
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document.write( "12y - 8 >= 18y + 45<BR>\n" );
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document.write( "Get rid of the 18y on the right side by subtracting 18y from both sides to get:<BR>\n" );
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document.write( "-6y - 8 >= + 45<BR>\n" );
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document.write( "Now get rid of the -8 on the left side by adding + 8 to both sides and you have:<BR>\n" );
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document.write( "-6y >= 53<BR>\n" );
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document.write( "Finally, solve for y by dividing both sides by the -6 that multiplies the y. And don't <BR>\n" );
document.write( "forget that since you are dividing by a minus quantity you must also reverse the direction<BR>\n" );
document.write( "of the inequality arrow. When you divide both sides by a minus 6 the inequality becomes:<BR>\n" );
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document.write( "y <= -53/6<BR>\n" );
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document.write( "And thats the answer to your problem ... y must be equal to or lie to the left of -53/6 <BR>\n" );
document.write( "on the number line.<BR>\n" );
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document.write( "Hope this helps you to understand how to do inequalities such as these.<BR>\n" );
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