Mathematics · Relations and Functions
Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {a, b, c}?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1R = {(a, b), (a, c), (b, c)}
- 2R = {(a, a), (b, b), (c, c)}
- 3R = {(a, a), (a, b), (b, c)}
- 4R = {(a, b), (b, a), (b, c), (c, b)}✓
Correct answer
R = {(a, b), (b, a), (b, c), (c, b)}
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