Question

Let A { l, 2, { 3, 4 5 }. {1, 2. 5} $\in$ A Is the given statement is incorrect and why?

Answer 1

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 that B = {1, 2, 5}
here we can see that set B is not an element of set A. then we can say {1, 2,5 } doesn't belong to A.e.g., $\{1,2,5\}\notin A$
Thus, the statement is incorrect.