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Question
Answer the following:
Find R : A → A when A = {1, 2, 3, 4} such that R = (a, b)/a − b = 10}
Solution
A = {1, 2, 3, 4}
R = (a, b)/a − b = 10}
∵ 1 ≤ x ≤ 4∀ x ∈ A
∴ a − b ≠ 10 for all a, b ∈ A
∴ R = { }
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