document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199342>Question 1199342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality. Express your answers using set notation or interval notation. Graph the solution set.\r<BR>\n" );
document.write( "\n" );
document.write( "0 < (2x - 4)^(-1) < 1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let me see.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let (2x - 4)^(-1) be 1/(2x - 4).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We now have this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "0 < 1/(2x - 4) < 1/2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Stuck here.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833183 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=833183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i believe the answer will be x > 3<BR>\n" );
document.write( "here's my reasoning.<BR>\n" );
document.write( "your inequality is 0 < (2x-4)^-1<1/2<BR>\n" );
document.write( "that becomes:<BR>\n" );
document.write( "0 < 1/(2x-4) < 1/2<BR>\n" );
document.write( "multiply all sides of the inequality by (2x-4) to get:<BR>\n" );
document.write( "0 < 1 < 1/2 * (2x-4)<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "0 < 1 < (x-2)<BR>\n" );
document.write( "add 2 to all sides of the inequality to get:<BR>\n" );
document.write( "2 < 3 < x<BR>\n" );
document.write( "is x > 3, then x has to be > 2, so reduce the inequality to:<BR>\n" );
document.write( "3 < x<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x > 3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "to see if this is a good solution, replace x with something greater than 3, like 4.<BR>\n" );
document.write( "your equation becomes 0 < 1/(8-2) < 1/2<BR>\n" );
document.write( "simplify to get:<BR>\n" );
document.write( "0 < 1/6 < 1/2<BR>\n" );
document.write( "this is a true statement because 0 < 1/6 and 1/6 < 1/2.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your solution is x > 3 as far as i can tell.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );