document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=22618>Question 22618</A>: <I><SPAN STYLE=\"word-break: break-all;\"> There is a triangle, with the outer side which equals (3x-18).  They give you one remote interior angle which is 30.  They want you to find the restrictions on x.  I found the answer, but i just couldn't understand how to get it.  The answer was 16<X<66.  Please help, thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #11501 by </B><A HREF=/tutors/aboutme.mpl?userid=eclecticist><B>eclecticist(12)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=eclecticist><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=11501\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you've learned about the theorem that states that any exterior angle of a triangle is greater than any of the 2 remote interior angles, then you can solve this problem. Since you know that the exterior angle has to be greater than the interior angle, you can set up this inequality<BR>\n" );
document.write( "3x - 18 > 30<BR>\n" );
document.write( "3x > 48<BR>\n" );
document.write( "x > 16<BR>\n" );
document.write( "However, you also know that the exterior angle can't be 180, or there would be no triangle, but a line. Now you can set up a second inequality.<BR>\n" );
document.write( "3x - 18 < 180<BR>\n" );
document.write( "3x < 198<BR>\n" );
document.write( "x < 66<BR>\n" );
document.write( "By combining these two inequalities you obtain the solution, 16 < x < 66 </SPAN>\n" );
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