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NEST2024MathematicsSets and Relations

Let R be the equivalence relation on Z ^2 defined by (x₁, y₁ ) R (x₂, y₂ ) if 2 |x₁ |+3 |y₁ |=2 |x₂ |+3 |y₂ | . Then

Options

  1. Aeach equivalence class with more than one element has at least 4 elements
  2. Bthere are infinitely many equivalence classes with less than 4 elements
  3. Cthere exists an equivalence class containing at least 1000 elements
  4. Dthere exist equivalence classes with infinitely many elements

Correct answer

C. there exists an equivalence class containing at least 1000 elements

Step-by-step solution

No solution available.

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