Question

{a} $\in$ {a, b, c} State whether the statement is True (or) False And Justify it.

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.
Let us assume A = {a} and B = {a, b, c}
here we see that elements of set B are a, b, c
so, we can say set A is not element of set B.
hence, $A\notin B$
thus , statement is false.