Let R be a relation in N defined by R = {(1 + x, 1 + x2) : x ≤ 5, x ∈ N}. Which of the following is false ?
Answer & explanation
Correct answer: option 1
R = {(1+1, 1 + 1), (1 + 2, 1 + 4), (1 + 3, 1 + 9), (1 + 4, 1 + 16), (1 + 5, 1 + 25)
= {(2, 2), (3, 5), (4, 10), (5, 17), (6, 26)}
Domain of R = {x : (x, y) ∈ R} = {2, 3, 4, 5, 6}
Range of R = {y : (x, y) ∈ R} = {2, 5, 10, 17, 26}
Hence (1) is the correct answer.