Question

{ a, e } $\subset$ {x : x is a vowel in the English alphabet} 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 the question,
Let us assume that A = {a, e} and
B = {x: x is a vowel in the English alphabets}
={a, e, i, o, u}
Now, we can observe that every element of A is an element of B.
Thus, $A\subset B$
∴ The statement is true.