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 →Sets and Venn Diagrams The relationship between sets can be represented by diagrams is known as Venn Diagrams. In venn diagrams, 1. A rectangle is represent a universal set. 2. Circles or ovals are represent other subsets of the universal set. Example: The set of Natural numbers is a subset of set of Whole numbers, which […]
Read More →Subset Definition: A set X is said to be a subset of another set Y, If all elements of set X are elements of set Y. In other words, the set X is contained inside the set Y. Symbol ‘⊂’ is denoted for ‘Subset of’ or is ‘Contained in’. If set A is a subset of set B, then it […]
Read More →Set Theory : Equal and Equivalent Sets Definition & Examples: Equal Sets The two given sets have member of elements and the number of elements are exactly same, then the sets are called Equal Sets. The elements could be anything like picture, numbers, alphabets. The repetition of elements and the order of […]
Read More →Set Theory In our everyday life we often speak about collections of objects. A particular kind of sets such as, a football team, a group of students, bunch of flowers, etc. In mathematics, we also come across the collections, For example – Whole numbers, factors, natural numbers etc. In simply we can say it’s a […]
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