Question

Let A { l, 2, { 3, 4 5 }.1 $\subset$ 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.

given, A = {1, 2, {3, 4}, 5}
here we can see that 1 is an element of set A.
so, we can say that 1 belongs to A. e.g., $1\in A$ and also we can say that 1 is not a subset of setA.e.g., $1\not\subset A$
Thus, the statement is incorrect.