Mathematics · Relations and Functions
Which of the following statements is NOT correct for a relation R defined on the set of real numbers?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1(x, y) ∈ R ⇔ |x| ≤ 1 is not transitive but symmetric.
- 2(x, y) ∈ R ⇔ |x - y| ≤ 1 is symmetric and transitive.✓
- 3(x, y) ∈ R ⇔ |x - y| ≤ 1 is reflexive and symmetric.
- 4(x, y) ∈ R ⇔ |x| = |y| ≤ 1 is reflexive but not symmetric.
Correct answer
(x, y) ∈ R ⇔ |x - y| ≤ 1 is symmetric and transitive.
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