Question:
Let \( R \) be the relation in the set \( \mathbb{N} \) given by \( R = \{(a,b) : a = b - 2, \; b<6\} \), then _____
Let \( R \) be the relation in the set \( \mathbb{N} \) given by \( R = \{(a,b) : a = b - 2, \; b<6\} \), then _____
Show Hint
Always check both conditions in relation definition carefully.
Updated On: Apr 2, 2026
- \( (6,8) \in R \)
- \( (8,7) \in R \)
- \( (8,3) \in R \)
- \( (2,4) \in R \)
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The Correct Option is D
Solution and Explanation
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. \[ \Rightarrow (2,4) \in R \]
Step 1: Check option (2,4). \[ 2 = 4 - 2 \quad \text{and} \quad 4<6 \]
Step 2: Both conditions satisfied. \[ \Rightarrow (2,4) \in R \]
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