document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=233438>Question 233438</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if you could can you please explain to me how to solve this math problem? thank you soooo much!! (:\r<BR>\n" );
document.write( "\n" );
document.write( "(I stands for absolute value since i dont have the actual symbol)\r<BR>\n" );
document.write( "\n" );
document.write( "I x I + 4 (is less than) 9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #172298 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=172298\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You can use the function term of abs(x) to indicate the absolute value of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Otherwise, it's the symbol above the backslash which is to the right of the letter P three keys to the right on my keyboard.\r<BR>\n" );
document.write( "\n" );
document.write( "It looks like a broken line going straight up and down with a space in the middle.   When you hit the key, it shows up as | which is not broken in the middle by a space.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Anyway .....................\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "abs(x) + 4 < 9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "subtract 4 from both sides of this equation to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "abs(x) < 9-4 which becomes abs(x) < 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "by definition, abs(x) < 5 means that:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x < 5 if x is positive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-x < 5 if x is negative.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solve for x < 5 to get x < 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "take -x < 5 and multiply both sides of this equation by -1 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x > -5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your answer is that x is either < 5 or x > -5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this can be written as -5 < x < 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to prove, plug good and bad values of into the original equation to see what happens.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "take x = -5,-4,0,4,5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x = -5,5 are outside of the limits so the answer should be false.<BR>\n" );
document.write( "x = -4,0,4 are inside the limits so the answer should be true.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let y = abs(x) + 4 < 9\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "when x = -5, y = 9 not < 9 so this is good because -5 is outside of the limits.<BR>\n" );
document.write( "when x = -4, y = 8 < 9 so this is good because -5 is inside the limits.<BR>\n" );
document.write( "when x = 0, y = 4 < 9 so this is good because 0 is inside the limits.<BR>\n" );
document.write( "when x = 4, y = 8 < 9 so this is good because 4 is inside the limits.<BR>\n" );
document.write( "when x = 5, y = 9 not < 9 so this is good because 5 is outside the limits.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Your answer is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-5 < x < 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );