Give an example of a subset and a proper subset. Explain the difference between a subset and proper subset. plz help
Since this is not my area of expertise, I searched Google under the key words "proper subsets" to get this:
http://www.google.com/search?client=safari&rls=en&q=proper+subsets&ie=UTF-8&oe=UTF-8
In the future, you can find the information you desire more quickly, if you use appropriate key words to do your own search. Also see http://hanlib.sou.edu/searchtools/.
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Sure! I'd be happy to help you understand the concepts of subset and proper subset.
Let's say we have set A = {1, 2, 3} and set B = {1, 2}. In this case:
Subset: Set B is a subset of set A if all elements of B are also elements of A. So, in this example, set B is a subset of set A because both 1 and 2 are elements of set A.
Proper Subset: A proper subset is a subset that contains fewer elements than the original set. In other words, it is a subset that is not equal to the original set. If we consider the same example, set B is a proper subset of set A because it contains fewer elements. A proper subset is denoted by the symbol ⊂.
To determine if a set is a proper subset, you need to check two conditions:
1. All the elements of the subset should also be elements of the original set.
2. The subset should contain at least one element that is not in the original set.
In the example I provided, set A = {1, 2, 3} and set B = {1, 2}, B satisfies both conditions to be a proper subset of set A.
I hope this explanation helps you understand the difference between a subset and a proper subset. Let me know if you have any further questions!