Consider the following statements:
$r: \text{If } p \to q \text{ is false, then } p \lor q \text{ is false.}$
$s: \text{If } p \leftrightarrow q \text{ is false, then } p \lor q \text{ is false.}$
The truth values of $r \to s$ and $s \to r$ are respectively:

  • A
    $T, T$
  • B
    $T, F$
  • C
    $F, T$
  • D
    $F, F$

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Similar Questions

Which of the following statements is/are False?
$S_1: \exists n \in N$, such that $n^2 + n + 2$ is divisible by $4$.
$S_2: \exists x \in N$, such that $x - 17 < 20$.
$S_3: \forall n \in N, x^2 + 3x - 10 = 0$.
$S_4: \forall n \in N, n^2 \ge 1$.

Check whether the following sentence is a statement. Give reasons for your answer.
Mathematics is fun.

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

The statement $(p \wedge (p$ $\rightarrow q) \wedge (q$ $\rightarrow r))$ $\rightarrow r$ is :

Which of the following statements is a tautology?

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