document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=830605>Question 830605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write and solve an inequality. the difference of three fourth of a number and 6 is more than 10. what could te number be?    </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #500719 by </B><A HREF=/tutors/aboutme.mpl?userid=JulietG><B>JulietG(1812)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JulietG><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=JulietG><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=500719\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be the unknown number.<BR>\n" );
document.write( "3/4x - 6 > 10<BR>\n" );
document.write( "Add 6 to each side:<BR>\n" );
document.write( "3/4x > 16<BR>\n" );
document.write( "Multiply each side by 4/3:<BR>\n" );
document.write( "x > 4/3 * 16<BR>\n" );
document.write( "Do the multiplication:<BR>\n" );
document.write( "x > 64/3<BR>\n" );
document.write( "Reduce<BR>\n" );
document.write( "x > 21 1/3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let's pick a number to make certain it's correct.  How about 24?  (24 is easily divisible by 3/4)<BR>\n" );
document.write( "3/4(24) - 6 > 10<BR>\n" );
document.write( "18 - 6 > 10<BR>\n" );
document.write( "That works.  Let's try one that shouldn't work if the equation is correct.  We'll use 20.<BR>\n" );
document.write( "3/4(20) - 6 > 10<BR>\n" );
document.write( "15 - 6 > 10<BR>\n" );
document.write( "9 > 10<BR>\n" );
document.write( "Since 9 is NOT greater than 10, it does not work in the equation.  We should have expected that 20 would not work given that our equation specified that x was greater than 21 1/3. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );