document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=143732>Question 143732</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321206002/algebrahomeworkh>survey of math w/applications</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am having a lot of trouble with word problem questions. If someone could help me that would be great. If you could show your work so that I can understand how you got the answer would be apprectiated. Thanks so much!\r<BR>\n" );
document.write( "\n" );
document.write( "7.  (4 pts) Use an Euler diagram to determine whether the syllogism is valid or invalid <BR>\n" );
document.write( "               All actresses are beautiful<BR>\n" );
document.write( "	   Some actresses are tall <BR>\n" );
document.write( "	  --------------------------------<BR>\n" );
document.write( "	    ; Some beautiful people are tall.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #104633 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=104633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Draw a circle within a circle.  Label the inside circle A for Actresses, and the outside circle label B for Beautiful.  In this way, you can see that ALL actresses are contained inside the \"beautiful\" circle.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, \"Some Actresses are Tall\", so draw another circle that intersects with the A circle.  Draw it in every possible way, but remember--it must somehow intersect the A circle.  Label this third circle T for Tall.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, is it possible to draw this circle in such a way that it does NOT touch or go into the B circle?  Then you can conclude that in ALL possible cases, there MUST be an overlap of the B and T circle.  Therefore, \"some beautiful people are tall\" is VALID.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "R^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );