If $A$ and $B$ are two sets,then $A \cup (A \cap B)$ is equal to

Which of the following is a set? Justify your answer.
$A$ team of eleven best cricket batsmen of the world.

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 $x \in A$ and $A \not\subset B$,then $x \in B$

Write the following set in roster form:
$F =$ The set of all letters in the word $BETTER$

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

Examine whether the following statement is true or false:
$\{x : x \text{ is an even natural number less than } 6\} \subset \{x : x \text{ is a natural number which divides } 36\}$