Question

Let \( R \) be the relation in the set \( \mathbb{N} \) given by \( R = \{(a,b) : a = b - 2, \; b<6\} \), then _____

• A. \( (6,8) \in R \)
• B. \( (8,7) \in R \)
• C. \( (8,3) \in R \)
• D. \( (2,4) \in R \)

Hint:

Always check both conditions in relation definition carefully.

Answer 1

The Correct Option is D

Concept: Relation defined as: \[ a = b - 2 \quad \text{and} \quad b<6 \]
Step 1: Check option (2,4). \[ 2 = 4 - 2 \quad \text{and} \quad 4<6 \]
Step 2: Both conditions satisfied. \[ \Rightarrow (2,4) \in R \]