Maths-
General
Easy
Question
Two sets A and B are disjoint if and only if
Hint:
A set is a clearly defined group of things or numbers in mathematics. The term "element of the set" refers to each member of the set. Each component or member of the set is distinct. For instance, the group of counting numbers under six is "1, 2, 3, 4, 5." We have to find the condition for disjoint set.
The correct answer is:
The totality of the natural numbers is gathered in the set N. Following is a representation of Set N:
For example: N = { 1, 2, 3, 4, 5…}
Sets without any elements are referred to as empty sets, void sets, or null sets, and they are symbolised by the symbols or.
Singleton Set: A set that only contains one element is referred to as a singleton set.
Sets can be either finite or infinite. A finite set has a finite number of elements, whereas an infinite set has an infinite number of elements.
Equal Sets: Two sets A and 6 are deemed to be equal if each element in A is also an element in B, or vice versa, i.e., two equal sets will include the exact same element.
Two finite sets A and 6 are said to be equivalent if their element counts are equal.
Now consider an example:
Set A = {1, 2, 3)
Set B = {4, 5, 6}
Then A-B = { }
Which means
So here we used the concept of sets and understood the notations that are used. We also understood the different types of sets that are present. Two sets A and B are disjoint if and only if .
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So here we understood the concept of sets and its various types that are there. The concept of intersection of sets was used which is basically when there are common terms in the given number of sets, those comes under the intersection. So .
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