Problem 16 Solution

This page contains the NCERT mathematics class 12 chapter Relations and Functions Exercise 1.1 Problem 16 Solution. Solutions for other problems are available at Exercise 1.1 Solutions
Exercise 1.1 Problem 16 Solution
16. Let R be the relation in the set N given by R = {(a, b) : a = b – 2, b \gt 6}. Choose the correct answer.
(A) (2, 4) ∈ R (B) (3, 8) ∈ R (C) (6, 8) ∈ R (D) (8, 7) ∈ R
Given that R is the relation in the set N given by R = {(a, b) : a = b~–~2, b \gt 6}
Check for option A:
2 = 4 – 2 but {4 \ngtr 6}. So, A is not correct option.
Check for option B:
3 ≠ 8 – 2. So, B is not correct option.
Check for option C:
6 = 8 – 2 and 8 > 6. So, C is correct option.
Check for option D:
8 ≠ 7 – 2. So, D is not correct option (as we already know that C is correct option, we don’t have to check for D)