Question

If $x \epsilon A$ and $A \epsilon B$. then $x \epsilon B$. State whether the statement is True (or) False And Justify it

Answer 1

given, $x\in A$ and $A\in B$
then, we have to justify that $x\in B$ is true or false.

Let us assume that, A = {1, 2} and B = {{1, 2}, 3}

here, $A\in B$

x = 1 or 2 because x $\in A$

or, $1\in\{1,2\}$

but here we see $2\notin\{\{1,2\},3\}$

hence, $x\notin B$

Therefore the statement is false .

Answer 2

Answer:

False

Step-by-step explanation:

Given statement is

" If x∈A and A∈B , then x∈B. "

Here ,

A∈B is wrong .

Left side of symbol ∈ is always contain an

element not a Set .

....