Sets – Cartesian Product of Sets If A and B are two non empty sets, then their Cartesian Product A x B is set of all possible ordered pairs. A x B = {(x, y) : x ∈A, y ∈ B} where the elements of A are comes first and the elements of B are […]
Read More →Definition: If A and B are two sets then, difference of set A and set B is the all elements of set A, that are not elements of set B. or The Difference of two Sets A and B, is set of elements, which belong to A but not to B. Difference of Sets A and […]
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 →Which are the following examples of the null set, give reason (i) Set of even numbers divisible by 3. (ii) {x : x is a common point to any two parallel lines} (iii) Set of odd numbers divisible by 2. (iv) {x : x is a natural number, x < 4 and x > 6} […]
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 →Fill the symbol in the blank space. (i) {a, b, c, d, e}….{a, b, c} (ii) {3, 5, 7}… {3, 4, 5, 6, 7} (iii) {x : x is a odd number}…{x : x is a even number} (iv) {x : x is a student of class VI in your school}….{x : x is a […]
Read More →If A = {x : x is a natural number}, B = {x : x is an even natural number}, C = {x : x is an odd natural number}, and D = {x : x is a prime number}, find the value of given sets. (i) A ⋂ B(ii) A ⋂ C (iii) A […]
Read More →Subset Find the subsets of the following sets. (i) {a}, (ii) {a, b}, (iii) {a, b, c}, (iv) {p, q}, (v) {p, q, r}, (vi) {1,}, (vii) {1, 2, }, (viii) {1, 2, 3}, (ix) {1, 2, 3, 4}, Answer: (i) {a}, ∅ (ii) {a}, {b}, {a, b}, ∅ (iii) {a} , {b}, {c}, {a, […]
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 […]
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