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Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. determine if the relation is (i) Reflexive (ii) Symmetric (iii) Transitive (iv) Equivalence?
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Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. de...
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Let there be a natural number n,
We know that n divides n, which implies nRn.
So, Every natural number is related to itself in relation R.
Thus relation R is reflexive .
Let there be three natural numbers a,b,c and let aRb,bRc
aRb implies a divides b and bRc implies b divides c, which combinedly implies that a divides c i.e. aRc.
So, Relation R is also transitive .
Let there be two natural numbers a,b and let aRb,
aRb implies a divides b but it can't be assured that b necessarily divides a.
For ex, 2R4 as 2 divides 4 but 4 does not divide 2 .
Thus Relation R is not symmetric .
Let there be a natural number n,
We know that n divides n, which implies nRn.
So, Every natural number is related to itself in relation R.
Thus relation R is reflexive .
Let there be three natural numbers a,b,c and let aRb,bRc
aRb implies a divides b and bRc implies b divides c, which combinedly implies that a divides c i.e. aRc.
So, Relation R is also transitive .
Let there be two natural numbers a,b and let aRb,
aRb implies a divides b but it can't be assured that b necessarily divides a.
For ex, 2R4 as 2 divides 4 but 4 does not divide 2 .
Thus Relation R is not symmetric .
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Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. determine if the relation is (i) Reflexive (ii) Symmetric (iii) Transitive (iv) Equivalence?
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Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. determine if the relation is (i) Reflexive (ii) Symmetric (iii) Transitive (iv) Equivalence? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. determine if the relation is (i) Reflexive (ii) Symmetric (iii) Transitive (iv) Equivalence? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. determine if the relation is (i) Reflexive (ii) Symmetric (iii) Transitive (iv) Equivalence?.
Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. determine if the relation is (i) Reflexive (ii) Symmetric (iii) Transitive (iv) Equivalence? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. determine if the relation is (i) Reflexive (ii) Symmetric (iii) Transitive (iv) Equivalence? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let r be a relation from n to n defined by r = {(a,b) n and a=b^4}. determine if the relation is (i) Reflexive (ii) Symmetric (iii) Transitive (iv) Equivalence?.
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