document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1121809>Question 1121809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have a problem with inequalities on a number line, write each solution as a single inequality involving absolute value which gives all possible values for the variable.\r<BR>\n" );
document.write( "\n" );
document.write( "A.) Variable is b\r<BR>\n" );
document.write( "\n" );
document.write( "Left to right on the number line, In brackets, the first point it 2.9, the middle point is 4.1, and the last point with closing brackets is 5.3.\r<BR>\n" );
document.write( "\n" );
document.write( "Visually it looks like below:\r<BR>\n" );
document.write( "\n" );
document.write( "  <—— [—————|—————]——><BR>\n" );
document.write( " ....... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.9 ALIGN=MIDDLE  ALT=\"2.9\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4.1 ALIGN=MIDDLE  ALT=\"4.1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5.3 ALIGN=MIDDLE  ALT=\"5.3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ......\r<BR>\n" );
document.write( "\n" );
document.write( "I’m not sure what to be looking for here and I had another exercise with the answer (not needed to be solved just showing as an example)<BR>\n" );
document.write( "The previous example was like this but with the line:\r<BR>\n" );
document.write( "\n" );
document.write( "  <—— [—————|—————]——><BR>\n" );
document.write( "  ...... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > ........ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.6 ALIGN=MIDDLE  ALT=\"-2.6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ........ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2.2 ALIGN=MIDDLE  ALT=\"-2.2\"   DISABLED_style= \"max-width:90%; height:auto;\" > .....<BR>\n" );
document.write( "With the variable b and the answer was = | b+2.6 | less than or equal to 0.4\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #737804 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=737804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The distance between two points (numbers), a and b, on a number line is  |a-b| <br>\r<BR>\n" );
document.write( "\n" );
document.write( "In the example you provided,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+abs%28+b+-+%28-2.6%29+%29++%3C=+0.4+ ALIGN=MIDDLE  ALT=\"+abs%28+b+-+%28-2.6%29+%29++%3C=+0.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  —>  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+abs%28b%2B2.6%29+%3C=+0.4+ ALIGN=MIDDLE  ALT=\"+abs%28b%2B2.6%29+%3C=+0.4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <br>\r<BR>\n" );
document.write( "\n" );
document.write( "In the problem you posted,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28++abs%28b+-+4.1%29+%3C=+1.2+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28++abs%28b+-+4.1%29+%3C=+1.2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <br>\r<BR>\n" );
document.write( "\n" );
document.write( "Also, notice that [ ]  indicates \"includes endpoint(s)\" (also known as a closed interval) and <BR>\n" );
document.write( " ( ) indicates \"does not include endpoint(s)\" (also known as an open interval)<BR>\n" );
document.write( "and if you see one of each, that  indicates a half-open interval.   </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );