document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=515065>Question 515065</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can you please Help me with this problem: Fine the soulution set for the inequality.<BR>\n" );
document.write( "-15x + 21 <(absolute value) -3(4x + 1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343689 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=343689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Fine the soulution set for the inequality.<BR>\n" );
document.write( "-15x + 21 <(absolute value) -3(4x + 1)<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "-15x + 21 < |-3(4x+1)|<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Note: The -3(4x+1) could be positive, zero,  or it could be negative.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "It is positive if (4x+1)<0 , i.e. x < -1/4<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Draw a Number line and plot x = -1/4,<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Now, if x < -1/4, the equation becomes\r<BR>\n" );
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document.write( "-15x + 21 < -3(4x+1)<BR>\n" );
document.write( "-15x + 21 < -12x-3<BR>\n" );
document.write( "21 < 3x-3<BR>\n" );
document.write( "3x > 24<BR>\n" );
document.write( "x > 8<BR>\n" );
document.write( "But those x's are not < -1/4.<BR>\n" );
document.write( "So there are no solutions below x = -1/4,\r<BR>\n" );
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document.write( "-----------------------<BR>\n" );
document.write( "But, if x >= -1/4, the equation becomes\r<BR>\n" );
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document.write( "-15x+21 < 3(4x+1)<BR>\n" );
document.write( "-15x +21 < 12x + 3<BR>\n" );
document.write( "27x > 18<BR>\n" );
document.write( "x > 2/3<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Solutions: x > 2/3<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );