SOLUTION: 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

Question 143732This question is from textbook survey of math w/applications
: 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!
7. (4 pts) Use an Euler diagram to determine whether the syllogism is valid or invalid
All actresses are beautiful
Some actresses are tall
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; Some beautiful people are tall.
This question is from textbook survey of math w/applications

Answer by rapaljer(4551) (Show Source):
You can put this solution on YOUR website!
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.

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.

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^2