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Question
Let R be a relation from N to N defined by R = {(a, b) : a, b ∈ N and a = b2}. Is the statement true?
(a, b) ∈ R implies (b, a) ∈ R
Justify your answer in case.
Options
True
False
Solution
This statement is False.
Explanation:
Given: R = [(a, b) : a, b ∈ N and a = b2]
(a, b) ∈ R ⇒ (b, a) ∉ R
∵ 4 = 22
(4, 2) ∈ R, but (2,4) \[\not\in\] R.
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