Let $ A = \{-3, -2, -1, 0, 1, 2, 3\} $ and $ R $ be a relation on $ A $ defined by $ xRy $ if and only if $ 2x - y \in \{0, 1\} $. Let $ l $ be the number of elements in $ R $. Let $ m $ and $ n $ be the minimum number of elements required to be added in $ R $ to make it reflexive and symmetric relations, respectively. Then $ l + m + n $ is equal to:
Show Hint
- 18
- 17
- 15
- 16
The Correct Option is B
Solution and Explanation
Thus, \( l + m + n = 17 \).
Thus, the correct answer is \( 17 \).
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