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Question

Set of natural numbers A = A={x:xϵN} is a proper subset of which of the following
  1. All of the above.
  2. Set of whole numbers A1={x:xϵW}
  3. Set of Integers A3={x:xϵI}
  4. Set of Real numbers A2={x:xϵR}


Solution

The correct option is A All of the above.
A set A is said to be a proper subset of B if A is a subset of B and A B i.e if
(i) Every element of A is an element of B
(ii) B has atleast one element which is not an element of A.

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