document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=824110>Question 824110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution set of {x | x < -5} &#8745; {x | x > 5}?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "all numbers less than -5 and greater than 5<BR>\n" );
document.write( "the numbers between -5 and 5<BR>\n" );
document.write( "the empty set<BR>\n" );
document.write( "all real numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496133 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=496133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"{x | x < -5}\" tells us that x must be less than -5<BR>\n" );
document.write( "\"{x | x > 5}\" tells us that x must be grater than 5<BR>\n" );
document.write( "The \"&#8745;\" between them is the symbol for intersection. This means that the solution set is made up of numbers which are simultaneously in <u>both</u> of these two sets.<br><BR>\n" );
document.write( "So what numbers, if any, are simultaneously less than -5 and greater than 5? The answer to this is the answer to your problem.<br><BR>\n" );
document.write( "P.S. One of the choices, \"all numbers less than -5 and greater than 5\", is worded terribly. It should read: \"all numbers less than -5 or greater than 5\". The words \"and\" and \"or\" have very important and very different meanings when used in the context of sets. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );