Mathematics · Relations and Functions
If A = {1, 2, 3}, then which of the following relations on A is both reflexive and transitive, but not symmetric?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1R = {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)}
- 2R = {(1, 1), (1, 2), (1, 3), (2, 2), (2, 3), (3, 1)}
- 3R = {(1, 1), (2, 2), (3, 3), (2, 1), (3, 2), (3, 1)}✓
- 4R = {(1, 1), (2, 2), (2, 1), (1, 2), (3, 2), (3, 1)}
Correct answer
R = {(1, 1), (2, 2), (3, 3), (2, 1), (3, 2), (3, 1)}
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