document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=664869>Question 664869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me make this into an inaquality and solve as well. The difference of three times a number and 5 is more than the number times 4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413550 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=413550\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 3x - 5 > 4x<BR>\n" );
document.write( "x is the number<BR>\n" );
document.write( "the difference of 3 times the number and 5 is equivalent to 3x - 5<BR>\n" );
document.write( "more than the number times 4 is equivalent to > 4x + 5<BR>\n" );
document.write( "the equation is 3x-5 > 4x<BR>\n" );
document.write( "subtract 4x from both sides of the equaton to get 3x - 5 - 4x > 0<BR>\n" );
document.write( "combine like terms to get -x - 5 > 0<BR>\n" );
document.write( "add 5 to both sides of the equation to get -x > 5<BR>\n" );
document.write( "multiply both sides of the equation by -1 to get x < -5<BR>\n" );
document.write( "note that multiplying both sides of an inequality by a negative number reverses the inequality.<BR>\n" );
document.write( "your solution should be x < -5<BR>\n" );
document.write( "you need to substitute for x in your original equation to see if this solution is good.<BR>\n" );
document.write( "your original equation is 3x - 5 > 4x.<BR>\n" );
document.write( "pick a number for x < -5.<BR>\n" );
document.write( "let's try -6.<BR>\n" );
document.write( "your original equation is 3x - 5 > 4x<BR>\n" );
document.write( "replace x with -6 to get 3(-6) - 5 > 4(-6)<BR>\n" );
document.write( "simplify to get -18 - 5 > -24<BR>\n" );
document.write( "combine like terms to get - 23 > -24 which is true.<BR>\n" );
document.write( "this means your solution is good.<BR>\n" );
document.write( "let's try a much larger difference to see it it's still true.<BR>\n" );
document.write( "let's try x = -20<BR>\n" );
document.write( "your original equation is 3x - 5 > 4x<BR>\n" );
document.write( "replace x with -20 to get 3(-20) - 5 > 4(-20)<BR>\n" );
document.write( "simplify to get -60 - 5 > -80<BR>\n" );
document.write( "combine like terms to get -65 > -80<BR>\n" );
document.write( "since -65 > -80 is a true statement,  your solution is good.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );