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Question: Answered & Verified by Expert
Which of the following statements is not correct for the relation $\mathrm{R}$ defined by aRb if and only if b lives within one kilometer from a?
MathematicsSets and RelationsNDANDA 2006 (Phase 1)
Options:
  • A $\mathrm{R}$ is reflexive
  • B $\mathrm{R}$ is symmetric
  • C $\mathrm{R}$ is notanti-symmetric
  • D None of the above
Solution:
2839 Upvotes Verified Answer
The correct answer is: $\mathrm{R}$ is symmetric
aRb means bliveswith one $\mathrm{km}$ from $\mathrm{a}$, and bRa means a lives within one $\mathrm{km}$ from $\mathrm{b}$ but distance from $\mathrm{a}$ to $\mathrm{b}=$ distance from $\mathrm{b}$ to $\mathrm{a}$. So, R issymmetric.

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