Question

PASSAGE
R={(x,y)/x,y belongs to A={1,2,3}such that x is less than y}

what is the inverse of R​

Answer 1

Answer:

thanks for your point keep going

Answer 2

$\displaystyle \sf Inverse \: of \: R = {R}^{ - 1} = \{ (2,1) , (3,1) , (3,2) \}$

Given :

R = { (x,y)/x , y belongs to A = {1,2,3} such that x is less than y }

To find :

Find inverse of R

Solution :

Step 1 of 2 :

Find the relation R

Here the set is A = { 1 , 2 , 3 }

Now it is given that

R = { (x,y)/x , y belongs to A = {1,2,3} such that x is less than y }

Thus we get

(1,2) ∈ R , (1,3) ∈ R , (2,3) ∈ R

∴ R = { (1,2) , (1,3) , (2,3) }

Step 2 of 2 :

Find inverse of R

Inverse of R

$\displaystyle \sf{ = {R}^{ - 1} }$

= {(y, x) : (x, y) ∈ R }

= { (2,1) , (3,1) , (3,2) }

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