What is Interval Notation and How is it Used?

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Interval notation is a mathematical way to represent a range of numbers, where brackets indicate whether endpoints are included or excluded. The notation [20;30[ signifies that 20 is included in the interval while 30 is not, meaning it includes all numbers x such that 20 ≤ x < 30. This is equivalent to the notation [20, 30), which also denotes the same range. Understanding this notation is essential for solving problems involving inequalities and real number sets. Mastery of interval notation aids in clearer communication of mathematical concepts.
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[a;b[

I want to do a problem with this but i can't find anything about it, if anyone can help me it'd be very useful, thank you. :)

The one i want to do exactly is [20;30[ , in case anyone is wondering.
 
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In other words, [20;30[ means {x | 20 ≤ x < 30}, the interval on the real number line between 20 and 30, with 20 included and 30 excluded.
 
Perhaps you are familiar with [20, 30), another notation meaning the same thing- all numbers between 20 and 30, including 20 but not 30.
 

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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