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I will prove a more general theorem from which your answer follows immediately. Theorem: The intersection of any number (including 2) of convex polygons is convex.
Proof
Let C be the intersection of Ci which is a set of iconvex polygons. By definition of intersection, if two points A and B belong to C then they belong to every one of the Ci . But the convexity of each of the Ci tells us that line segment AB is contained in Ci . Therefore, the line segment AB is in C and because ABwas arbitrary we conclude that C is convex
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Does commutative law apply in the operation of sets?
Both union and intersection are commutative, as well as associative.
What does the geometric figure the elevengon look like?
Well, depending on how you want it, either a convex, reflex, or regularhendecagon , or a eleven-gon. I think this is how they look like though.
What are the 4 basic operations on set?
A set is a collection of well defined objects known as elements Opperatons of sets are 1)union - the union of sets A and B is the set that contains all elements in A and all elements in B. intersection - given two sets A and B, the intersection of A and B is a set that contains all elements in common between A and B. compliments - given set A, A compliment is the set of all elements in the universal set but not in A difference - A-B is a set containing all elements in A that are not in B. symmetric difference - it is the sum of A and B minus A intersection B.
How can you prove when a fact is true?
You can prove a fact is true by looking it up on several Internet sites or a book. When looking up a fact make sure that the source you are using is reputable and well versed in the subject you are looking for. It is also a good idea to cross-reference the fact on several sites.
Is the set of prime numbers is well defined or not and why?
The set is well defined. Whether or not a given integer belongs to the set of prime numbers is clearly defined even if, for extremely large numbers, it may prove impossible to determine the status of that number.
