document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=83093>Question 83093</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618203230/algebrahomeworkh>introductory algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Three-fifths of a number is greater than two-thirds. Find the smallest integer that satisfies this inequality. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #59642 by </B><A HREF=/tutors/aboutme.mpl?userid=chitra><B>chitra(359)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chitra><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=59642\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> LET THE NUMBER BE \"X\".\r<BR>\n" );
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document.write( "Hence, the given number can be written as:  \r<BR>\n" );
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document.write( "Here, we are supposed to find the integer that satifies the given inequality. \r<BR>\n" );
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document.write( "when mwe plug x = 1 in the above equation, we get the 0.6 > 0.667  which is not possible.. \r<BR>\n" );
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document.write( "Hence, we plug in the next preceeding value. \r<BR>\n" );
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document.write( "Lets plug x = 2 in the above inequality. \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F5%29%282%29+%3E+%282%2F3%29 ALIGN=MIDDLE  ALT=\"%283%2F5%29%282%29+%3E+%282%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Which gives us 1.2 > 0.667 \r<BR>\n" );
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document.write( "Hence this satifies the given inequality. \r<BR>\n" );
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document.write( "When x = 3 then the value again changes. Hence, we get:  1.8 >  0.667 This again satisfies the inequality. \r<BR>\n" );
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document.write( "This shows us that as the value of x increases, the value on the left hand side keeps on increasing.. Hence, 2 would be the lowest minimum number that can be plugged for x. \r<BR>\n" );
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document.write( "Thus, the solution.\r<BR>\n" );
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document.write( "Regards\r<BR>\n" );
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