If $A \cap B = B$,then

If $A = \{2, 3, 4, 5, 6\}$,then which of the following statements has a truth value of 'false'?

Determine whether the following set is finite or infinite:
$\{1, 2, 3, \ldots\}$

The set $A = \{ x : x \in \mathbb{R}, x^2 = 16 \text{ and } 2x = 6 \}$ is equal to

If $A = \{x, y\}$ then the power set of $A$ is

In each of the following,determine whether the statement is true or false. If it is true,prove it. If it is false,give a counterexample.
If $A \subset B$ and $B \in C,$ then $A \in C$.