Write the following statement in the form of "if-then":
The banana trees will bloom if it stays warm for a month.

Which of the following pairs are not logically equivalent?

Negation of the compound proposition: "If the examination is difficult,then $I$ shall pass if $I$ study hard."

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

The conditional statement $(p \wedge q) \implies p$ is:

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