Math Definition: Inclusive & Exclusive

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The general math definitions for "inclusive" and "exclusive" are that inclusive includes all elements under discussion, while exclusive excludes them. In specific contexts, such as the set of numbers between 0 and 1, inclusive indicates that the endpoints are included, whereas exclusive means they are not. These terms are also relevant in logic and set theory, particularly concerning the "or" or "union" operation. In this context, inclusive allows for either or both conditions to be true, while exclusive permits only one condition to be true at a time. Understanding these definitions is crucial for accurate mathematical communication.
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What's the general math definition for inclusive and exclusive? Thanks fr everything and ty :-p
 
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hkhero said:
What's the general math definition for inclusive and exclusive? Thanks fr everything and ty :-p

The "general" math definition is just the usual dictionary definition: "inclusive" means including everything under discussion and "exclusive" means excluding everything under discussion. Of course, what is under discussion depends upon the specific situation. In "the set of numbers between 0 and 1, inclusive" the word "inclusive" means that the endpoints, for which the word "between" is ambiguous, are included. In "the set of numbers between 0 and 1, exclusive" they are excluded.
 
Inclusive and exclusive are used in logic and set theory in the context of the"or" or "union" operation. Inclusive means either or both, while exclusive means either but not both.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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