document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156077>Question 156077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do i solve the following inequalities and then graph it.\r<BR>\n" );
document.write( "\n" );
document.write( "1. -2|x+1|>_-8 \r<BR>\n" );
document.write( "\n" );
document.write( "(the symbol before -8 is 1 greater or equal to) \r<BR>\n" );
document.write( "\n" );
document.write( "2. 3(2x+8)<36\r<BR>\n" );
document.write( "\n" );
document.write( "3.12>_-3x-6>3\r<BR>\n" );
document.write( "\n" );
document.write( "4.5x-2<3x-8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #114937 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=114937\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the following inequalities and then graph it. <BR>\n" );
document.write( "1. -2|x+1|>=-8 \r<BR>\n" );
document.write( "\n" );
document.write( "Divide both sides by -2 to get:<BR>\n" );
document.write( "|x+1| <= 4<BR>\n" );
document.write( "Solve the EQUALTIY:<BR>\n" );
document.write( "x+1 = 4 or x+1 = -4<BR>\n" );
document.write( "x = 3 or x = -5<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "To solve the INEQUALITY:<BR>\n" );
document.write( "Draw a number line and plot x = -5 and x = 3 on it<BR>\n" );
document.write( "Check a test value from each resulting number-line interval to find solutions:<BR>\n" );
document.write( "Let x = -10; you get |-10+1| <= 4; false, so no solutions in (-inf,-5)<BR>\n" );
document.write( "Let x = 0; you get |0+1| <= 4; true, so solutions in (-5,3)<BR>\n" );
document.write( "Let x = 5; you get |5+1| < 4; false, so no solutions in (3,+inf)<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "Final Answer:  [-5,3] or {x} -5 <= x <= 3}<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( " <BR>\n" );
document.write( "2. 3(2x+8)<36<BR>\n" );
document.write( "(2x+8) < 12<BR>\n" );
document.write( "2x < 4<BR>\n" );
document.write( "x < 2<BR>\n" );
document.write( "---------------- <BR>\n" );
document.write( "3. 12>= -3x-6 >3 <BR>\n" );
document.write( "18 >= -3x > 9<BR>\n" );
document.write( "-18 <= x < -3<BR>\n" );
document.write( "--------------------\r<BR>\n" );
document.write( "\n" );
document.write( "4.5x-2<3x-8<BR>\n" );
document.write( "2x < -6<BR>\n" );
document.write( "x < -3<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );