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Question: Answered & Verified by Expert
Let $A=\{-1,2,5,8\}, B=\{0,1,3,6,7\}$ and $R$ be the relation 'is
one less than' from $A$ to $B$, then how many elements will $R$ contain?
MathematicsSets and RelationsNDANDA 2009 (Phase 2)
Options:
  • A 2
  • B 3
  • C 5
  • D 9
Solution:
2557 Upvotes Verified Answer
The correct answer is: 3
Given, $\mathrm{A}=\{-1,2,5,8\}$ and $\mathrm{B}=\{0,1,3,6,7\}$
Since, $\mathrm{R}$ be the relation 'is one less than' from $\mathrm{A}$ to $\mathrm{B}$ $\mathrm{R}=\{(-1,0),(2,3),(5,6)\}$
Hence, R contains 3 elements.

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