Mathematics · Relations and Functions
Consider the following relations on the set {1, 2, 3, 4}: R1 = {(1, 1), (1, 2), (1, 4), (2, 1), (2, 2), (3, 3), (4, 1), (4, 4)} R2 = {(2, 1), (3, 1), (3, 2), (4, 1), (4, 2), (4, 3)} R3 = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 3), (2, 4), (3, 3), (3, 4), (4, 4)} R4 = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 4), (4, 1), (4, 4)} Which of these relations are reflexive and transitive but NOT symmetric?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Only R3✓
- 2Only R2
- 3R2 and R4
- 4R1 and R3
Correct answer
Only R3
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