Question

what does {x|x=2a, aEN} means in sets​

Answer 1

Answer:

If A and B are sets then AB is the collection of functions from B to A. When you see the notation 2X, where X is a set, we're also considering 2 as a set, in fact

2={0,1}.

So 2X is the collection of all functions mapping X to {0,1}.

It's been stated in a comment that 2X is the power set of X, that is, the collection of all subsets of X. That's not literally true, but there's an obvious and standard one-to-one correspondence between 2X and the power set of X, given by f↦{x:f(x)=1}.

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