Question

If R= {(x, y): x, y ∈N, x+2y = 21}, then range of R is.......​

Answer 1

SOLUTION

GIVEN

R = { (x, y) : x, y ∈ N , x + 2y = 21 }

TO DETERMINE

The range of R

EVALUATION

Here the given relation is

R = { (x, y) : x, y ∈ N , x + 2y = 21 }

For x = 1 , y = 10 ⇒ ( 1, 10) ∈ R

For x = 3 , y = 9 ⇒ ( 3, 9) ∈ R

For x = 5 , y = 8 ⇒ ( 5 , 8) ∈ R

For x = 7 , y = 6 ⇒ ( 7 , 7) ∈ R

For x = 9 , y = 6 ⇒ ( 9, 6) ∈ R

For x = 11 , y = 5 ⇒ ( 11, 5) ∈ R

For x = 13 , y = 4 ⇒ ( 13, 4) ∈ R

For x = 15 , y = 3 ⇒ ( 15, 3) ∈ R

For x = 17 , y = 2 ⇒ ( 17, 2) ∈ R

For x = 19 , y = 1 ⇒ ( 19, 1) ∈ R

Now

Range of R

= { y : (x, y) ∈ R }

= { 1 , 2 , 3 , 4 , . . . . , 9 , 10 }

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