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Sep 8, 2022 · Examples of Sets in Real Life. Most of us have collections of our favorite things, groups of objects, like our favorite clothes, favorite foods, favorite people and places, etc. These are all parts of sets, and we use them every day. Here are a few examples of sets that are frequently used in our daily lives: 2, 3. Bookcase.
- Relevance of Sets in Our Day-To-Day Life
- Real-World Sets We Come Across Regularly
- In Summary
Set theory is a fundamental concept of mathematics. It is the foundation of several other topics, such as statistics and probability, and so on. Besides being a crucial part of complex mathematical subjects, set theory is equally important to make our lives less chaotic and more orderly. Although we never realize we are applying the concept of sets...
1. Kitchen sets
The kitchen is that place of the house where you can find numerous kinds of sets. You must have seen your mom organizing each kitchen cabinet with one particular item. There are sets of plates, bowls, glasses, cooking utensils, tableware, and many other things that are arranged as sets in the kitchen. Applying this mathematical concept in this part of the household ensures everything is organized, and you don’t have a tough time finding what you need.
2. School rules
Every school, or even a workplace, has some rules which students and workers must follow on any given day. These rules are a set of well-defined statements that tell people what they are and aren’t allowed to do. Rules keep everything running smoothly during school and work hours, ensuring discipline and safety. We have rules for different scenarios, for example, home rules, classroom rules, playground rules, etc., and each one is a different set from the others.
3. Your favorite playlist
We’re sure you must be having a playlist on your cell phone with all your favorites. Right? This playlist is also a set of songs that you especially like. Each of your friends or your family members must be having their own playlists with their favorite songs to listen to. Here, each playlist is an individual set. It could be, however, possible that some elements in your set of favorite songs are also a part of your friend’s favorites, making them what we call “overlapping sets.”
Apart from the ones stated above, we have other examples, like a jewelry box, a makeup kit, a restaurant’s menu, or even the universe, which show how sets are a part of our lives. After looking at all the examples mentioned above, we hope you are convinced about how sets make our lives systematic and organized. Without the existence of set theory, ...
In mathematics, a set is defined as a collection of distinct, well-defined objects forming a group. There can be any number of items, be it a collection of whole numbers, months of a year, types of birds, and so on. Each item in the set is known as an element of the set. We use curly brackets while writing a set.
- For disjoint sets A and B; $n(A U B) = n(A) + n(B)$ $A \cap B = \varnothing$ $n(A − B) = n(A)$
- No. There is one element inside the brackets. So, it is a singleton set, not a null set.
- Cartesian Product of Set A and B is defined as an ordered pair $(x, y)$ where $x \in A$ and $y \in B$.
- In real life, sets are used in bookshelves while arranging the books according to alphabetic order or genre; closets where dresses, tops, jeans are...
- Yes, the union of two sets includes the intersection of the sets. Union of set A and B includes the elements either in set A or in set B or in both...
- In Kitchen. Kitchen is the most relevant example of sets. Our mother always keeps the kitchen well arranged. The plates are kept separate from bowls and cups.
- School Bags. School bags of children is also an example. There are usually divisions in the school bags, where the sets of notebooks and textbooks are kept separately.
- Shopping Malls. When we go shopping in a mall, we all have noticed that there are separate portions for each kind of things. For instances, clothing shops are on another floor whereas the food court is at another part of the mall.
- Universe. As we all know that there are millions of galaxies present in our world which are separated from each other by some distance. Here, the universe act as a set.
- Sets Definition. In mathematics, a set is defined as a well-defined collection of objects. Sets are named and represented using capital letters. In the set theory, the elements that a set comprises can be any kind of thing: people, letters of the alphabet, numbers, shapes, variables, etc.
- Representation of Sets in Set Theory. There are different set notations used for the representation of sets in set theory. They differ in the way in which the elements are listed.
- Sets Symbols. Set symbols are used to define the elements of a given set. The following table shows the set theory symbols and their meaning. Symbols. Meaning.
- Types of Sets. There are different types of sets in set theory. Some of these are singleton, finite, infinite, empty, etc. Singleton Sets. A set that has only one element is called a singleton set or also called a unit set.
Jan 24, 2021 · Suppose set A = {1,3,5} and set B = {5,5,3,3,1,1}. Sets A and B are equal because they contain the exact same elements, namely 1, 3, and 5. Remember, order and multiplicity of elements don’t matter. Let’s look at another example. Determine if the sets A and B are equal.
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Enhance Critical Thinking. Set theory challenges you to think abstractly and critically about relationships between objects and ideas. This skill is transferable to many areas of life, from academic research to everyday problem-solving. Set theory may seem abstract at first, but its applications in real life are far-reaching and impactful.
