Question

{a} $\subset$ {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 $A\subset B$ 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 setA are not elements of set B.

now come to the question.
Let us assume that A = {a} 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 true.