Question

Let R be the relation in the set of natural numbers N
defined as R = {(x, y) e N N : 3x + y = 11).
Then R' is given by
(a) (0, 11), (1, 8), (2, 5), (3, 2);
(b) {(1, 8), (2, 5), (3, 2)
(c) {(11, 0), (8, 1), (5,2), (2, 3)
(d) {(8, 1), (5,2), (2, 3)​

Answer 1

Answer:

(c) {(11, 0), (8, 1), (5,2), (2, 3)

Step-by-step explanation:

R = {(0, 11), (1, 8), (2, 5), (3, 2)} then R' is given as shown

Answer 2

SOLUTION

CORRECT QUESTION

Let R be the relation in the set of natural numbers N

defined as R = { (x, y) ∈ N : 3x + y = 11 }

Then R is given by

(a) { (0, 11), (1, 8), (2, 5), (3, 2)}

(b) {(1, 8), (2, 5), (3, 2)}

(c) {(11, 0), (8, 1), (5,2), (2, 3)}

(d) {(8, 1), (5,2), (2, 3)}

EVALUATION

Here the given relation is R

Now R is defined in the set of natural numbers N

defined as

R = { (x, y) ∈ N : 3x + y = 11 }

For x = 1 we have y = 8

For x = 2 we have y = 5

For x = 3 we have y = 2

Thus we have

R = {(1, 8), (2, 5), (3, 2)}

FINAL ANSWER

Hence the correct option is

(b) {(1, 8), (2, 5), (3, 2)}

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