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Question
Let R be the relation in the set N given by R = {(a, b): a = b - 2, b > 6}. Choose the correct answer.
(A)(2,4)∈R(B)(3,8)∈R(C)(6,8)∈R(D)(8,7)∈R
Let R be the relation in the set N given by R = {(a, b): a = b - 2, b > 6}. Choose the correct answer.
(A)(2,4)∈R(B)(3,8)∈R(C)(6,8)∈R(D)(8,7)∈R
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Solution
Given, R = {(a, b): a = b - 2, b > 6}
Now, since, b > 6 so (2,4)/∈R. Also, as 3≠8−2 so (3,8)/∈R and as 8≠7−2
Therefore, (8,7)/∈R
Now, consider (6,8). We have 8 > 6 and also, 6=8-2
Therefore, (6,8)∈R. Thus, the correct answer is (C).
Given, R = {(a, b): a = b - 2, b > 6}
Now, since, b > 6 so (2,4)/∈R. Also, as 3≠8−2 so (3,8)/∈R and as 8≠7−2
Therefore, (8,7)/∈R
Now, consider (6,8). We have 8 > 6 and also, 6=8-2
Therefore, (6,8)∈R. Thus, the correct answer is (C).
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