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

Write the component statements of the following compound statement and check whether the compound statement is true or false.
$A$ line is straight and extends indefinitely in both directions.

Simplify the Boolean function $(x \cdot y)+[(x+y') \cdot y]'$

Which statement given below is a tautology?

Let $S$ be a non-empty subset of $\mathbb{R}$. Consider the following statement:
$p$ : There is a rational number $x \in S$ such that $x > 0$.
Which of the following statements is the negation of the statement $p$?

Write the contrapositive of the following statement:
If a number is divisible by $9,$ then it is divisible by $3.$