Here you will learn what is symmetric relation on sets with definition and examples. Let’s begin – What is Symmetric Relation ? Definition : A relation R on a set A is said to be a symmetric relation iff (a, b) \(\in\) R \(\implies\) (b, a) \(\in\) R for all a, b \(\in\) A i.e. […]
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Here you will learn what is reflexive relation on set with definition and examples. Let’s begin – What is Reflexive Relation ? Definition : A relation R on a set A is said to be reflexive if every element of A is related to itself. Thus, R is reflexive \(\iff\) (a, a) \(\in\) R for
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Solution : Let A be a set. Then, the relation \(I_A\) = {(a, a) : a \(\in\) A} on A is called the identity relation on A. In other words, then the relation \(I_A\) on A is called the identity relation if every element of A is related to itself only. Example : If A
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Solution : Let A be a set. Then, A \(\times\) A \(\subseteq\) A \(\times\) A and so it is a relation on A. This relation is called the universal relation on A. In other words, a relation R on a set is called universal relation, if each element of A is related to every element
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Solution : Let A be a set. Then, \(\phi\) \(\subseteq\) A \(\times\) A and so it is a relation on A. This relation is called the void or empty relation on set A. In other words, a relation R on a set A is called void or empty relation, if no element of A is
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Here you will learn what is the complement of a set definition with venn diagram and examples. Let’s begin – Complement of a Set Definition : Let U be the universal set and let A be a set such that A \(\subset\) U. Then, the complement of A with respect to U is denoted by
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Here you will learn what is the symmetric difference of two sets with venn diagram and examples. Let’s begin – Symmetric Difference of Two Sets Definition : Let A and B be two sets. The symmetric difference of sets A and B is the set (A – B) \(\cup\) (B – A) and is denoted
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Here you will learn what is the difference of two sets with venn diagram and examples. Let’s begin – What is Difference of Two Sets ? Definition : Let A and B be two sets. The difference of A and B, written as A – B, is the set of all those elements of A
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Here you will learn what is the union of sets with definition and venn diagram representation and examples. Let’s begin – What is the Union of Sets ? Definition : Let A and B be two sets. The union of A and B is the set of all those elements which belong either to A
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Here you will learn what is the intersection of sets with definition and venn diagram and examples. Let’s begin – What is the Intersection of Sets ? Definition : Let A and B be two sets. The intersection of A and B is the set of all those elements that belong to both A and
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