Math, asked by PragyaTbia, 1 year ago

Let A { l, 2, { 3, 4 5 }. { \emptyset} \in A Is the given statement is incorrect and why?

Answers

Answered by abhi178
0
first of all, you should understand what is the meaning of A\subset B, A\not\subset B and A\in B ?

A\subset B : A is subset of B. means, all elements of set A are elements of set B.

A\not\subset B : A is not subset of B. means, all elements of setA are not elements of set B.

A\in B : A belongs to B. means, set A is the element of set B.

now come to the question,
given, set A = {1, 2, {3, 4} , 5}.
Let us assume B = \{\emptyset\}.
here it is clear that set B is not element of set A. [ actually, it happens when A = {∅, 1, 2, {3, 4}, 5} ]
so, we can write it \{\emptyset\}\notin A
thus, the statement is incorrect.
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