Write the negation of the following statement:
$q:$ All cats scratch.

For each of the following statements,determine whether an inclusive "Or" or exclusive "Or" is used. Give reasons for your answer.
Two lines intersect at a point or are parallel.

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

Write the contrapositive and converse of the following statement:
$x$ is an even number implies that $x$ is divisible by $4.$

The contrapositive of the statement pattern $[p \lor (p \to q)] \to (p \land \sim q)$ is

Write the contrapositive and converse of the following statement:
If $x$ is a prime number,then $x$ is odd.