document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=652700>Question 652700</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve the following inequality and i've tried everything but i can't seem to find an answer.<BR>\n" );
document.write( "The problem says:<BR>\n" );
document.write( "A number is less than one fourth the sum of three times the number and four.<BR>\n" );
document.write( "x < 1/4 + 3x + 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408086 by </B><A HREF=/tutors/aboutme.mpl?userid=DrBeeee><B>DrBeeee(684)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=DrBeeee><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=408086\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The expession does not satify the statement,\"One fourth of ...\", it should be<BR>\n" );
document.write( "(1) x < (1/4)*(3x+4), where you multiply instead of add. Of means multiply.<BR>\n" );
document.write( "Now solve (1) for x.<BR>\n" );
document.write( "Multiply both sides by 4 and get<BR>\n" );
document.write( "(2) 4x < 3x + 4 or<BR>\n" );
document.write( "(3) x < 4<BR>\n" );
document.write( "Let's check our answer using (1) and x = 4-d, where d is an incrementally small positive value (almost zero), such that d>0, making x < 4<BR>\n" );
document.write( "Is (4-d < (1/4)*(3*(4-d) + 4)?<BR>\n" );
document.write( "Is (4-d < (1/4)*(12 - 3d +4)?<BR>\n" );
document.write( "Is (4-d < (1/4)*(16-3d)?<BR>\n" );
document.write( "Is (4-d < 4 - (3/4)d)?<BR>\n" );
document.write( "Is ( -d <   -(3/4)d)? or, since d>0<BR>\n" );
document.write( "Is ( -1 < -(3/4))? Yes.<BR>\n" );
document.write( "Answer: The real number x is less than 4. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );