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NEST2022MathematicsSets and Relations

Let A₁, A₂, be subsets of a set X such that A_ j+1 A_j for all j . If A= _ j=1 ^ A_j , then

Options

  1. Aif all A_j 's are nonempty then A is nonempty.
  2. Bif all A_j 's are infinite then A is infinite.
  3. Cif there exists j₀ such that A_j 's are nonempty finite subsets for all j j₀ , then A is nonempty.
  4. Dif all A_j 's are infinite and A is nonempty then A is infinite.

Correct answer

C. if there exists j₀ such that A_j 's are nonempty finite subsets for all j j₀ , then A is nonempty.

Step-by-step solution

No solution available.

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