Which of the following statements is $NOT$ logically equivalent to $(p \to \sim p) \to (p \to q)$?

$\sim(\sim p \rightarrow q) \equiv$

The negation of $(p \land q) \to ((p \lor r) \to \sim q)$ is equivalent to ...

Write the component statements of the following compound statement and check whether the compound statement is true or false.
$0$ is less than every positive integer and every negative integer.

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

Consider the following statements:
$(A)$ If $3+3=7$,then $4+3=8$.
$(B)$ If $5+3=8$,then the earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true,then $5+6=17$.
Which of the following statements is correct?