Question

Given A = {1, 2, 3, 4}, R = {(x, y) : x, y ∈ A, x + y < 6}. Then R =

(a) {(1,4}, (4,1)}

(b) {(1,4}, (4,1), (2,3),(3,2)}

(c) {(1,1},(1,2),(1,3),(1,4)}

(d) {(1,1},(1,2),(1,3),(1,4),(2,1), (2,2),(2,3),(3,1),(3,2),(4,1)}​

Answer 1

Answer:

the answer is 4th because it contains all the numbers but the rest of them don't contain all the numbers please mark as brilliantest

Answer 2

Answer:

(d) {(1,1},(1,2),(1,3),(1,4),(2,1), (2,2),(2,3),(3,1),(3,2),(4,1)}

Step-by-step explanation:

Both x and y belong to set A.

Also,x+y<6

Possible subsets are:-

(1,1) (1,2) (1,3) (1,4) [x=1]

(2,1) (2,2) (2,3). [x=2]

(3,1) (3,2). [x=3]

(4,1) [x=4]

Hence the answer is option d.

Hope this helps you.