Question

{a, b} $\not \subset$ {b, c, a} State whether the statement is True (or) False And Justify it.

Answer 1

first of all, you should understand what is the meaning of $A\subset B$ and $A\not\subset B$ ?
$A\subset B$ : 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 set A are not elements of set B.

now come to the question,
given, $\{a,b\}\not\subset\{b,c,a\}$
Let us assume that A = {a, b} and B = {b, c, a}
Now, we can observe that every element of A is an element of B.
Thus, $A\subset B$
∴ The statement is false.