Set of natural numbers A = A={x:xϵN} is a proper subset of which of the following
A
Set of whole numbers A1={x:xϵW}
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B
Set of Real numbers A2={x:xϵR}
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C
Set of Integers A3={x:xϵI}
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D
All of the above.
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Solution
The correct option is D 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.