Question

Let R be the relation on the set N of natural numbers given by R = { ( a,b): a-b > 2, b >3} choose the correct answer
(4,1) ϵ R
(5,8) ϵ R
(8,7) ϵ R
(10,6) ϵ R​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

Let R be the relation on the set N of natural numbers given by R = { ( a,b): a-b > 2, b >3}

(4,1) ϵ R

(5,8) ϵ R

(8,7) ϵ R

(10,6) ϵ R

EVALUATION

Here it is given that

R be the relation on the set N of natural numbers given by

R = { ( a,b): a-b > 2, b >3}

Since b > 3

∴ b = 4 , 5 , 6 , 7...

We now consider the options

CHECKING FOR OPTION : 1

When a = 4 , b = 1

So b does not satisfy the condition b > 3

So this option is not correct

CHECKING FOR OPTION : 2

When a = 5 , b = 8

So b > 3

a - b = 5 - 8 = - 3 < 2

So this option is not correct

CHECKING FOR OPTION : 3

When a = 8 , b = 7

So b > 3

a - b = 8 - 7 = 1 < 2

So this option is not correct

CHECKING FOR OPTION : 4

When a = 10 , b = 6

So b > 3

a - b = 10 - 6 = 4 > 2

So this option is correct

FINAL ANSWER

Hence the correct option is (10,6) ∈ R

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