Find the component statements of the following compound statement:
$0$ is a positive number or a negative number.

The proposition $p \rightarrow \sim( p \wedge \sim q )$ is equivalent to

Which of the following sentences are statements? Give reasons for your answer.
The sum of $5$ and $7$ is greater than $10.$

For each of the following compound statements,first identify the connecting words and then break it into component statements.
$x=2$ and $x=3$ are the roots of the equation $3x^{2} - x - 10 = 0$.

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

If $p$ and $q$ are true statements and $r$ and $s$ are false statements,then the truth values of the statement patterns $(p \wedge q) \vee r$ and $(p \vee s) \leftrightarrow(q \wedge r)$ are respectively