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Choose the correct option.
Let R be the relation in the set N, given by R = {(x, y) : x = y + 3 ∧ y > 5}.
Let $R$ be the relation in the set $N$, given by $R = \{(x, y) : x = y + 3 \wedge y > 5\}$.
- (a)$(7, 4) \in R$.
- (b)$(9, 6) \in R$.
- (c)$(4, 1) \in R$.
- (d)$(8, 5) \in R$.
Answer
Answer
Correct option: (b)
Answer: (b) $(9, 6) \in R$.
For $(9, 6)$: $9 = 6 + 3$ and $6 > 5$, so both conditions hold. The other pairs fail: $(7,4)$ has $4 \not> 5$; $(4,1)$ has $1 \not> 5$; $(8,5)$ has $5 \not> 5$.