Union of Sets – Set Operations In this tutorial we will learn, properties of operation of union of sets. Meaning of operations on sets There are many operations in maths like division, multiplication, addition, subtraction etc.When we apply these operations on numbers, we get a new number. Example: (a) If we multiply 4 by 5, we […]
Read More →Complement of a Set Definition: The complement of a set A, is set of all elements of universal set, which are not the elements of A. Let U be the Universal set and A is subset of U, then the “Complement of A” is set of all elements of U which are not the elements of A. […]
Read More →Solutions – Union and Intersection of two Sets 1.If X and Y are two sets such that X∪Y has 40 elements, X has 22 elements and Y has 30 elements, how many elements does X∩Y have? Solution: Given that n(X∪Y) = 40, n(X) = 22, and n(Y) = 30, n(X∩Y)= ? By using the formula n(X∪Y) […]
Read More →Finite and Infinite Sets Definition – Examples – Properties Definition: Finite Sets If a set contains finite or limited or (countable) number of elements is called Finite Set. Examples of finite sets: Example: (i) The vowels in English alphabets. A = {a, […]
Read More →Set Theory Symbol List List of set theory symbols Symbol Symbol Name 1. {} Set 2. A […]
Read More →Union of sets Definition: The Union of two sets A and B is the smallest set, which contains all the elements of both sets and taking every element of both sets A and B, without repeating any element, or common elements being taken only once. The symbol ‘∪’ used for the Union of two sets. Symbolically, we write union […]
Read More →Word Problems – Set Example 1: In a group of 60 people, 27 like tea, 42 likes coffee, and each person likes at least one of the two drinks. How many people like both coffee and tea. Solution: Let T denote the set of people who likes tea and C denote the set of people who likes coffee. […]
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