ISC Class 11 (2024-25) Ch-1 Sets Ex-1.4 Q.No. 8 Onwards from M L Aggarwal (Part-5)

#icsemaths #iscclass11maths #icseclass11maths #jindalmathspoint #mlaggarwalsolutions #onlinetuition FOR ONLINE TUITION CONTACT ME AT 7009509669 Before learning sets for class 11, let us know first what is a set. A set is a well-defined collection of objects, whose elements are fixed and cannot vary. It means set doesn’t change from person to person. Like for example, the set of natural numbers up to 7 will remain the same as {1,2,3,4,5,6,7}. Still, if we say the set of best players in a football team, then the name of footballers could vary every time we ask about the best players, as each person has its own choice to consider the best player. Similarly, if we speak about the set of rivers in India, the elements of the set will remain the same. So, this is a real-life example of a set. In mathematics, we represent the sets in curly brackets { }. ere, in this chapter of sets for class 11, we will explain the types of sets along with examples. Types of Sets Let us discuss the types of sets here: Empty Sets The set with no elements or null elements is called an empty set. This is also called a Null set or Void set. It is denoted by {}. For example: Let, Set X = {x:x is the number of students studying in Class 6th and Class 7th} Since we know a student cannot learn simultaneously on two classes, therefore set X is an empty set. Singleton Set The set which has only one element is called a singleton set. For example, Set X = { 2 } is a singleton set. Finite and Infinite Sets Finite sets are the one which has a finite number of elements, and infinite sets are those whose number of elements cannot be estimated, but it has some figure or number, which is very large to express in a set. Disjoint Sets If two sets X and Y have no common elements, and their intersection results in zero(0), then set X and Y are called disjoint sets. It can be represented as; X ∩ Y = 0 THANKS FOR YOUR SUPPORT AND HELP LIKE SUBSCRIBE AND SHARE FOR MORE UPDATES @jindalmathspoint