Equality – Subtraction Property Definition: Subtraction property of equality states that if using the same mathematical operation(same number is subtracted) on both sides of an equation, then both sides of equation will remain equal. means in a equation, without changing the solution of the equation, same number may be subtracted from both sides. This property […]
Read More →Intersection of sets Definition: The ‘Intersection of two sets’ A and B is the set of all elements, which belong to both A and B. or simply, The ‘Intersection of two sets’ A and B is the set of all elements, which are common in both A and B. Symbol ‘∩’ is used to denoted the Intersection of two sets […]
Read More →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 →Examine each of the following statements is true or false. (i) {a, b, c, d} and {a, b, c} are disjoint sets. (ii) {1, 2, 3, 4} and {5, 6, 7} are disjoint sets. (iii) {p, q, r,} and {a, b} are disjoint sets. (iv) {a} and {a, b} are disjoint sets. (v) {2, 5, […]
Read More →1. If U is the set of natural numbers. Find the complements of the following sets. (i) {x : x is an odd natural number} (ii) {x : x is an even natural number} (iii) {x : x is a prime number} (iv){x : x is a perfect square} (v){x : x is a perfect […]
Read More →Elements of a Set Definition: A number, letter or any object contained in a set is known as “Element of the set”. Example 1: Let set A = {1, 2, 3} so the elements of set A are 1, 2 and 3. let see this example in Venn diagram, […]
Read More →Representation of sets There are three methods of representing a set. 1. Statement form method 2. Roster or tabular form method 3. Rule or Set builder form method Statement form method In this method well defined description of the […]
Read More →Set Theory Symbol List List of set theory symbols Symbol Symbol Name 1. {} Set 2. 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 →Disjoint Sets – Overlapping Sets Definition: Two are more sets are said to be ‘Disjoint sets’, if they have no common elements. or Disjoint sets are sets, whose Intersection is the empty set. Disjoint sets are also known as Non Overlapping sets. Let A and B are two […]
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