The set $A = \{ x : x \ne x \}$ represents:

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 $A \not\subset B$ and $B \not\subset C$,then $A \not\subset C$.

Which of the following is a set? Justify your answer.
The collection of all even integers.

Write the following as intervals: $\{x : x \in \mathbb{R}, 0 \le x < 7\}$

An alternative equivalent circuit for the circuit is

With reference to a universal set,the inclusion relation $(\subseteq)$ of a subset in another is: