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Idea of a Set

If A = P 1,...

Question

If $A = P ({1, 2})$ where $P$ denotes the power set then which one of the following statements is correct?

{1, 2} \subset A

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1 \in A

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ϕ / ϵ A

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{1, 2} \in A

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Solution

The correct option is D ${1, 2} \in A$
Given, $A = P ({1, 2})$ , then
$A = {ϕ, {1}, {2}, {1, 2}}$
$\Rightarrow {1, 2} \in A$

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