document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1118071>Question 1118071</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the region represented by the inequality 3 < |z - 2 - 3i| < 4 in the argand plane.<BR>\n" );
document.write( "According to my solution<BR>\n" );
document.write( "I assume the value of Z = x+ yi and the final equation I have got on solving, is like that<BR>\n" );
document.write( "9 < x^2 + y^2 - 4x - 6y + 13 < 16.<BR>\n" );
document.write( "Now I am unable to solve further. Please explain it </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #733292 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=733292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> | z - 2 - 3i | < 4   ==>  { All the points where the distance from z to 2+3i  is less than 4 }<BR>\n" );
document.write( "3 < | z - 2 - 3i |   ==>  { All the points where the distance from z to 2+3i is greater than 3 }\r<BR>\n" );
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document.write( "Therefore,  3 < |z - 2 - 3i | < 4  is the intersection of those two sets. <br> \r<BR>\n" );
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document.write( "That intersection is a ring centered on  2+3i  where the inner radius of the ring is 3 and the outer radius is 4 (only the space interior to these two radii are part of the solution, as  both sides have strict inequalities - see the area between the blue and green circles below).  <br>\r<BR>\n" );
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document.write( "——————-<BR>\n" );
document.write( "Edited to change “union” to “intersection”<BR>\n" );
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document.write( " </SPAN>\n" );
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