document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=855763>Question 855763</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have the following question that I don't really get how to do. It is as follows: <BR>\n" );
document.write( "\"Solve the following inequality problems. You must give your answer using the<BR>\n" );
document.write( "interval notation. You must also give you answer in graphical form (using the<BR>\n" );
document.write( "number line).<BR>\n" );
document.write( "(a) 7 - 5x < -3 or 2x - 1 &#8804; x - 2.<BR>\n" );
document.write( "(b) 2 - 3x < 8 and 4x - 2 &#8804; 3x + 1. <BR>\n" );
document.write( "Can someone please answer the question so that I can understand how it's done? <BR>\n" );
document.write( "Thank you in advance :) <BR>\n" );
document.write( "zeedee </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #515551 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=515551\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) 7 - 5x < -3 or 2x - 1 &#8804; x - 2<BR>\n" );
document.write( "7 - 5x < -3<BR>\n" );
document.write( "-5x < -10<BR>\n" );
document.write( "when multiplying or dividing by a negative reverse the < or > <BR>\n" );
document.write( "x > 10<BR>\n" );
document.write( "2x - 1 &#8804; x - 2<BR>\n" );
document.write( "x &#8804; -1<BR>\n" );
document.write( "so x is &#8804; -1 or > 10<BR>\n" );
document.write( "there are two intervals to mark on the number line<BR>\n" );
document.write( "(negative infinity, -1]  this is closed on the right because -1 is included<BR>\n" );
document.write( "(10, infinity)<BR>\n" );
document.write( "(b) 2 - 3x < 8 and 4x - 2 &#8804; 3x + 1<BR>\n" );
document.write( "2 - 3x < 8<BR>\n" );
document.write( "-3x < 6<BR>\n" );
document.write( "x > -6<BR>\n" );
document.write( "4x - 2 &#8804; 3x + 1<BR>\n" );
document.write( "x &#8804; 3<BR>\n" );
document.write( "so x > -6 and &#8804; 3<BR>\n" );
document.write( "we have one interval which is closed on the right<BR>\n" );
document.write( "(-6, 3]<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );