Find the component statements of the following compound statement:
All rational numbers are real and all real numbers are complex.

The negation of the statement "If an integer is greater than $4$ and less than $5$, then it is a multiple of $3$" is:

The contrapositive statement of the statement "If $x$ is a prime number,then $x$ is odd" is

Show that the following statement is true by the method of contrapositive.
$p:$ If $x$ is an integer and $x^{2}$ is even,then $x$ is also even.

Let $p, q$ and $r$ be the statements:
$p$: $X$ is an equilateral triangle
$q$: $X$ is an isosceles triangle
$r: q \vee \sim p$
Then the equivalent statement of $r$ is:

The statement pattern $p \wedge (q \vee \sim p)$ is equivalent to