If the inverse of the conditional statement p - q - r is false- then the respective truth values of the statements p - q and r areA- FFFB- TFTC- TTFD- TTT

The correct option is A FFFNegation of statement nbsp;p ⇒ (∼ q ∼ r) is given by ∼ p ⇒ (q r) This is false if ∼ p ≡ T and q r ≡ F Therefore, p ≡ F, q ≡ F, r ≡ ...

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Standard XII

Mathematics

Contra-Positive

If the invers...

Question

If the inverse of the conditional statement $p \Rightarrow (\sim q \land \sim r)$ is false, then the respective truth values of the statements $p, q$ and $r$ are

FFF

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Solution

The correct option is A FFF
Negation of statement $p \Rightarrow (\sim q \land \sim r)$ is given by
$\sim p \Rightarrow (q \lor r)$
This is false if $\sim p \equiv T$ and $q \lor r \equiv F$
Therefore, $p \equiv F, q \equiv F, r \equiv F$

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If the inverse of the conditional statement p⇒(∼q ∧∼r) is false, then the respective truth values of the statements p,q and r are

The correct option is A FFFNegation of statement p⇒(∼q ∧∼r) is given by ∼p⇒(q∨r) This is false if ∼p≡T and q∨r≡F Therefore, p≡F,q≡F,r≡F

If the inverse of the conditional statement $p \Rightarrow (\sim q \land \sim r)$ is false, then the respective truth values of the statements $p, q$ and $r$ are

The correct option is A FFF
Negation of statement $p \Rightarrow (\sim q \land \sim r)$ is given by
$\sim p \Rightarrow (q \lor r)$
This is false if $\sim p \equiv T$ and $q \lor r \equiv F$
Therefore, $p \equiv F, q \equiv F, r \equiv F$