Question

If $A \subset B$ and $x \not \epsilon B$, then x \not \epsilon a [/tex]. State whether the statement is True (or) False And Justify it

Answer 1

$A\subset$ means A is subset of B or all elements of set A belongs to set B.
e.g., if $A\subset B$ and $x\in A$ then definitely $x\in B$
but if $x\notin B$ then, $x\notin A$

here, it is given that,
$A\subset B$ and $x\notin B$
then, definitely $x\notin A$.

hence, the given statement is true.