If the statement $p \vee \sim(q \wedge r)$ is false,then the truth values of $p, q$ and $r$ are respectively:

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

The negation of the statement "If $I$ become a teacher,then $I$ will open a school" is

Write the negation of the following statement and check whether the resulting statement is true:
There does not exist a quadrilateral which has all its sides equal.

If $q$ is false and $p \wedge q \leftrightarrow r$ is true,then which of the following is a tautology?

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 $3x^{2} - x - 10 = 0$.