set theory

Question

Answer 1

A) FALSE
B) TRUE ---of the set {a}
C) FALSE
D) TRUE --- of the set {a,b}

Comments

Please clarify how B became true?!

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@shiva

Let A = {a} be a set.

Let P(A) be the power set of A ( set of all possible subsets of A ).

set of all possible subsets of A of size 0 ---> { }

set of all possible subsets of A of size 1 ---> { a }

set of all possible subsets of A  =          { { },{ a } }

Answer 2

power set of a set is the set of all subsets including itself and empty set

So answer is D